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Finding the Third Proportional to 24,942 and 41,566

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Solution

The third proportional to 24,942 and 41,566 is: 69,270.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,942 : 41,566 = 41,566 : x
  2. Step 2: Convert to fraction form
    24,942/41,566 = 41,566/x
  3. Step 3: Cross multiply
    24,942x = 41,566 × 41,566
  4. Step 4: Simplify right side
    24,942x = 1,727,732,356
  5. Step 5: Solve for x
    x = 1,727,732,356/24,942
  6. Step 6: Final answer
    x = 69,270.00

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.