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Finding the Third Proportional to 57,319.38 and 76,446.38

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Solution

The third proportional to 57,319.38 and 76,446.38 is: 101,955.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,319.38 : 76,446.38 = 76,446.38 : x
  2. Step 2: Convert to fraction form
    57,319.38/76,446.38 = 76,446.38/x
  3. Step 3: Cross multiply
    57,319.38x = 76,446.38 × 76,446.38
  4. Step 4: Simplify right side
    57,319.38x = 5,844,048,250.64
  5. Step 5: Solve for x
    x = 5,844,048,250.64/57,319.38
  6. Step 6: Final answer
    x = 101,955.90

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.