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Finding the Third Proportional to 39,732 and 61,944.75

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Solution

The third proportional to 39,732 and 61,944.75 is: 96,575.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,732 : 61,944.75 = 61,944.75 : x
  2. Step 2: Convert to fraction form
    39,732/61,944.75 = 61,944.75/x
  3. Step 3: Cross multiply
    39,732x = 61,944.75 × 61,944.75
  4. Step 4: Simplify right side
    39,732x = 3,837,152,052.56
  5. Step 5: Solve for x
    x = 3,837,152,052.56/39,732
  6. Step 6: Final answer
    x = 96,575.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.