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Finding the Third Proportional to 23,474 and 36,499

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Solution

The third proportional to 23,474 and 36,499 is: 56,751.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,474 : 36,499 = 36,499 : x
  2. Step 2: Convert to fraction form
    23,474/36,499 = 36,499/x
  3. Step 3: Cross multiply
    23,474x = 36,499 × 36,499
  4. Step 4: Simplify right side
    23,474x = 1,332,177,001
  5. Step 5: Solve for x
    x = 1,332,177,001/23,474
  6. Step 6: Final answer
    x = 56,751.17

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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.