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Finding the Third Proportional to 14,882 and 32,021

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Solution

The third proportional to 14,882 and 32,021 is: 68,898.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,882 : 32,021 = 32,021 : x
  2. Step 2: Convert to fraction form
    14,882/32,021 = 32,021/x
  3. Step 3: Cross multiply
    14,882x = 32,021 × 32,021
  4. Step 4: Simplify right side
    14,882x = 1,025,344,441
  5. Step 5: Solve for x
    x = 1,025,344,441/14,882
  6. Step 6: Final answer
    x = 68,898.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.