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Finding the Third Proportional to 37,966.50 and 60,340.69

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Solution

The third proportional to 37,966.50 and 60,340.69 is: 95,900.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,966.50 : 60,340.69 = 60,340.69 : x
  2. Step 2: Convert to fraction form
    37,966.50/60,340.69 = 60,340.69/x
  3. Step 3: Cross multiply
    37,966.50x = 60,340.69 × 60,340.69
  4. Step 4: Simplify right side
    37,966.50x = 3,640,998,567.97
  5. Step 5: Solve for x
    x = 3,640,998,567.97/37,966.50
  6. Step 6: Final answer
    x = 95,900.30

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.