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Finding the Third Proportional to 48,475.97 and 72,421.59

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Solution

The third proportional to 48,475.97 and 72,421.59 is: 108,195.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,475.97 : 72,421.59 = 72,421.59 : x
  2. Step 2: Convert to fraction form
    48,475.97/72,421.59 = 72,421.59/x
  3. Step 3: Cross multiply
    48,475.97x = 72,421.59 × 72,421.59
  4. Step 4: Simplify right side
    48,475.97x = 5,244,887,241.29
  5. Step 5: Solve for x
    x = 5,244,887,241.29/48,475.97
  6. Step 6: Final answer
    x = 108,195.61

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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.