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Finding the Third Proportional to 15,562 and 24,749

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Solution

The third proportional to 15,562 and 24,749 is: 39,359.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,562 : 24,749 = 24,749 : x
  2. Step 2: Convert to fraction form
    15,562/24,749 = 24,749/x
  3. Step 3: Cross multiply
    15,562x = 24,749 × 24,749
  4. Step 4: Simplify right side
    15,562x = 612,513,001
  5. Step 5: Solve for x
    x = 612,513,001/15,562
  6. Step 6: Final answer
    x = 39,359.53

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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.