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Finding the Third Proportional to 27,438.75 and 40,182.75

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Solution

The third proportional to 27,438.75 and 40,182.75 is: 58,845.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,438.75 : 40,182.75 = 40,182.75 : x
  2. Step 2: Convert to fraction form
    27,438.75/40,182.75 = 40,182.75/x
  3. Step 3: Cross multiply
    27,438.75x = 40,182.75 × 40,182.75
  4. Step 4: Simplify right side
    27,438.75x = 1,614,653,397.56
  5. Step 5: Solve for x
    x = 1,614,653,397.56/27,438.75
  6. Step 6: Final answer
    x = 58,845.73

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.