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Finding the Third Proportional to 15,564 and 24,753

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Solution

The third proportional to 15,564 and 24,753 is: 39,367.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,564 : 24,753 = 24,753 : x
  2. Step 2: Convert to fraction form
    15,564/24,753 = 24,753/x
  3. Step 3: Cross multiply
    15,564x = 24,753 × 24,753
  4. Step 4: Simplify right side
    15,564x = 612,711,009
  5. Step 5: Solve for x
    x = 612,711,009/15,564
  6. Step 6: Final answer
    x = 39,367.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.