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Finding the Third Proportional to 36,462.38 and 54,693.75

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Solution

The third proportional to 36,462.38 and 54,693.75 is: 82,040.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,462.38 : 54,693.75 = 54,693.75 : x
  2. Step 2: Convert to fraction form
    36,462.38/54,693.75 = 54,693.75/x
  3. Step 3: Cross multiply
    36,462.38x = 54,693.75 × 54,693.75
  4. Step 4: Simplify right side
    36,462.38x = 2,991,406,289.06
  5. Step 5: Solve for x
    x = 2,991,406,289.06/36,462.38
  6. Step 6: Final answer
    x = 82,040.91

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Why These Related Problems?

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