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Finding the Third Proportional to 15,506 and 24,755

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Solution

The third proportional to 15,506 and 24,755 is: 39,520.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,506 : 24,755 = 24,755 : x
  2. Step 2: Convert to fraction form
    15,506/24,755 = 24,755/x
  3. Step 3: Cross multiply
    15,506x = 24,755 × 24,755
  4. Step 4: Simplify right side
    15,506x = 612,810,025
  5. Step 5: Solve for x
    x = 612,810,025/15,506
  6. Step 6: Final answer
    x = 39,520.83

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.