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Finding the Third Proportional to 45,587.25 and 71,149.50

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Solution

The third proportional to 45,587.25 and 71,149.50 is: 111,045.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,587.25 : 71,149.50 = 71,149.50 : x
  2. Step 2: Convert to fraction form
    45,587.25/71,149.50 = 71,149.50/x
  3. Step 3: Cross multiply
    45,587.25x = 71,149.50 × 71,149.50
  4. Step 4: Simplify right side
    45,587.25x = 5,062,251,350.25
  5. Step 5: Solve for x
    x = 5,062,251,350.25/45,587.25
  6. Step 6: Final answer
    x = 111,045.33

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