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Finding the Third Proportional to 45,147.38 and 67,557.38

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Solution

The third proportional to 45,147.38 and 67,557.38 is: 101,091.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,147.38 : 67,557.38 = 67,557.38 : x
  2. Step 2: Convert to fraction form
    45,147.38/67,557.38 = 67,557.38/x
  3. Step 3: Cross multiply
    45,147.38x = 67,557.38 × 67,557.38
  4. Step 4: Simplify right side
    45,147.38x = 4,563,998,916.89
  5. Step 5: Solve for x
    x = 4,563,998,916.89/45,147.38
  6. Step 6: Final answer
    x = 101,091.12

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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.