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Finding the Third Proportional to 10,149.75 and 18,101.25

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Solution

The third proportional to 10,149.75 and 18,101.25 is: 32,282.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.75 : 18,101.25 = 18,101.25 : x
  2. Step 2: Convert to fraction form
    10,149.75/18,101.25 = 18,101.25/x
  3. Step 3: Cross multiply
    10,149.75x = 18,101.25 × 18,101.25
  4. Step 4: Simplify right side
    10,149.75x = 327,655,251.56
  5. Step 5: Solve for x
    x = 327,655,251.56/10,149.75
  6. Step 6: Final answer
    x = 32,282.10

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.