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Finding the Third Proportional to 44,942 and 60,501

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Solution

The third proportional to 44,942 and 60,501 is: 81,446.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,942 : 60,501 = 60,501 : x
  2. Step 2: Convert to fraction form
    44,942/60,501 = 60,501/x
  3. Step 3: Cross multiply
    44,942x = 60,501 × 60,501
  4. Step 4: Simplify right side
    44,942x = 3,660,371,001
  5. Step 5: Solve for x
    x = 3,660,371,001/44,942
  6. Step 6: Final answer
    x = 81,446.55

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.