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Finding the Third Proportional to 13,384 and 28,823

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Solution

The third proportional to 13,384 and 28,823 is: 62,071.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384 : 28,823 = 28,823 : x
  2. Step 2: Convert to fraction form
    13,384/28,823 = 28,823/x
  3. Step 3: Cross multiply
    13,384x = 28,823 × 28,823
  4. Step 4: Simplify right side
    13,384x = 830,765,329
  5. Step 5: Solve for x
    x = 830,765,329/13,384
  6. Step 6: Final answer
    x = 62,071.53

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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.