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Finding the Third Proportional to 19,882 and 29,823

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Solution

The third proportional to 19,882 and 29,823 is: 44,734.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,882 : 29,823 = 29,823 : x
  2. Step 2: Convert to fraction form
    19,882/29,823 = 29,823/x
  3. Step 3: Cross multiply
    19,882x = 29,823 × 29,823
  4. Step 4: Simplify right side
    19,882x = 889,411,329
  5. Step 5: Solve for x
    x = 889,411,329/19,882
  6. Step 6: Final answer
    x = 44,734.50

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.