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Finding the Third Proportional to 15,715 and 24,302

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Solution

The third proportional to 15,715 and 24,302 is: 37,581.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,715 : 24,302 = 24,302 : x
  2. Step 2: Convert to fraction form
    15,715/24,302 = 24,302/x
  3. Step 3: Cross multiply
    15,715x = 24,302 × 24,302
  4. Step 4: Simplify right side
    15,715x = 590,587,204
  5. Step 5: Solve for x
    x = 590,587,204/15,715
  6. Step 6: Final answer
    x = 37,581.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.