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Finding the Third Proportional to 45,022.50 and 67,540.50

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Solution

The third proportional to 45,022.50 and 67,540.50 is: 101,320.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,022.50 : 67,540.50 = 67,540.50 : x
  2. Step 2: Convert to fraction form
    45,022.50/67,540.50 = 67,540.50/x
  3. Step 3: Cross multiply
    45,022.50x = 67,540.50 × 67,540.50
  4. Step 4: Simplify right side
    45,022.50x = 4,561,719,140.25
  5. Step 5: Solve for x
    x = 4,561,719,140.25/45,022.50
  6. Step 6: Final answer
    x = 101,320.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.