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Finding the Third Proportional to 37,214.44 and 71,452.13

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Solution

The third proportional to 37,214.44 and 71,452.13 is: 137,188.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,214.44 : 71,452.13 = 71,452.13 : x
  2. Step 2: Convert to fraction form
    37,214.44/71,452.13 = 71,452.13/x
  3. Step 3: Cross multiply
    37,214.44x = 71,452.13 × 71,452.13
  4. Step 4: Simplify right side
    37,214.44x = 5,105,406,167.02
  5. Step 5: Solve for x
    x = 5,105,406,167.02/37,214.44
  6. Step 6: Final answer
    x = 137,188.86

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.