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Finding the Third Proportional to 12,715 and 29,532

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Solution

The third proportional to 12,715 and 29,532 is: 68,591.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,715 : 29,532 = 29,532 : x
  2. Step 2: Convert to fraction form
    12,715/29,532 = 29,532/x
  3. Step 3: Cross multiply
    12,715x = 29,532 × 29,532
  4. Step 4: Simplify right side
    12,715x = 872,139,024
  5. Step 5: Solve for x
    x = 872,139,024/12,715
  6. Step 6: Final answer
    x = 68,591.35

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.