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Finding the Third Proportional to 42,749.53 and 63,884.91

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Solution

The third proportional to 42,749.53 and 63,884.91 is: 95,469.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,749.53 : 63,884.91 = 63,884.91 : x
  2. Step 2: Convert to fraction form
    42,749.53/63,884.91 = 63,884.91/x
  3. Step 3: Cross multiply
    42,749.53x = 63,884.91 × 63,884.91
  4. Step 4: Simplify right side
    42,749.53x = 4,081,281,246.57
  5. Step 5: Solve for x
    x = 4,081,281,246.57/42,749.53
  6. Step 6: Final answer
    x = 95,469.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.