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Finding the Third Proportional to 44,732.25 and 67,007.25

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Solution

The third proportional to 44,732.25 and 67,007.25 is: 100,374.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,732.25 : 67,007.25 = 67,007.25 : x
  2. Step 2: Convert to fraction form
    44,732.25/67,007.25 = 67,007.25/x
  3. Step 3: Cross multiply
    44,732.25x = 67,007.25 × 67,007.25
  4. Step 4: Simplify right side
    44,732.25x = 4,489,971,552.56
  5. Step 5: Solve for x
    x = 4,489,971,552.56/44,732.25
  6. Step 6: Final answer
    x = 100,374.37

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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.