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Finding the Third Proportional to 10,885.50 and 18,150.75

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Solution

The third proportional to 10,885.50 and 18,150.75 is: 30,265.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,885.50 : 18,150.75 = 18,150.75 : x
  2. Step 2: Convert to fraction form
    10,885.50/18,150.75 = 18,150.75/x
  3. Step 3: Cross multiply
    10,885.50x = 18,150.75 × 18,150.75
  4. Step 4: Simplify right side
    10,885.50x = 329,449,725.56
  5. Step 5: Solve for x
    x = 329,449,725.56/10,885.50
  6. Step 6: Final answer
    x = 30,265.01

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.