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Finding the Third Proportional to 47,426.25 and 71,452.13

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Solution

The third proportional to 47,426.25 and 71,452.13 is: 107,649.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,426.25 : 71,452.13 = 71,452.13 : x
  2. Step 2: Convert to fraction form
    47,426.25/71,452.13 = 71,452.13/x
  3. Step 3: Cross multiply
    47,426.25x = 71,452.13 × 71,452.13
  4. Step 4: Simplify right side
    47,426.25x = 5,105,406,167.02
  5. Step 5: Solve for x
    x = 5,105,406,167.02/47,426.25
  6. Step 6: Final answer
    x = 107,649.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.