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Finding the Third Proportional to 29,632 and 45,942

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Solution

The third proportional to 29,632 and 45,942 is: 71,229.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,632 : 45,942 = 45,942 : x
  2. Step 2: Convert to fraction form
    29,632/45,942 = 45,942/x
  3. Step 3: Cross multiply
    29,632x = 45,942 × 45,942
  4. Step 4: Simplify right side
    29,632x = 2,110,667,364
  5. Step 5: Solve for x
    x = 2,110,667,364/29,632
  6. Step 6: Final answer
    x = 71,229.33

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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.