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Finding the Third Proportional to 10,132.25 and 15,157.75

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Solution

The third proportional to 10,132.25 and 15,157.75 is: 22,675.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,132.25 : 15,157.75 = 15,157.75 : x
  2. Step 2: Convert to fraction form
    10,132.25/15,157.75 = 15,157.75/x
  3. Step 3: Cross multiply
    10,132.25x = 15,157.75 × 15,157.75
  4. Step 4: Simplify right side
    10,132.25x = 229,757,385.06
  5. Step 5: Solve for x
    x = 229,757,385.06/10,132.25
  6. Step 6: Final answer
    x = 22,675.85

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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.