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Finding the Third Proportional to 15,331 and 23,747

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Solution

The third proportional to 15,331 and 23,747 is: 36,782.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,331 : 23,747 = 23,747 : x
  2. Step 2: Convert to fraction form
    15,331/23,747 = 23,747/x
  3. Step 3: Cross multiply
    15,331x = 23,747 × 23,747
  4. Step 4: Simplify right side
    15,331x = 563,920,009
  5. Step 5: Solve for x
    x = 563,920,009/15,331
  6. Step 6: Final answer
    x = 36,782.99

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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.