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Finding the Third Proportional to 45,385.31 and 63,478.69

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Solution

The third proportional to 45,385.31 and 63,478.69 is: 88,785.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,385.31 : 63,478.69 = 63,478.69 : x
  2. Step 2: Convert to fraction form
    45,385.31/63,478.69 = 63,478.69/x
  3. Step 3: Cross multiply
    45,385.31x = 63,478.69 × 63,478.69
  4. Step 4: Simplify right side
    45,385.31x = 4,029,543,766.72
  5. Step 5: Solve for x
    x = 4,029,543,766.72/45,385.31
  6. Step 6: Final answer
    x = 88,785.19

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.