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Finding the Third Proportional to 6,757.13 and 10,108.50

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Solution

The third proportional to 6,757.13 and 10,108.50 is: 15,122.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757.13 : 10,108.50 = 10,108.50 : x
  2. Step 2: Convert to fraction form
    6,757.13/10,108.50 = 10,108.50/x
  3. Step 3: Cross multiply
    6,757.13x = 10,108.50 × 10,108.50
  4. Step 4: Simplify right side
    6,757.13x = 102,181,772.25
  5. Step 5: Solve for x
    x = 102,181,772.25/6,757.13
  6. Step 6: Final answer
    x = 15,122.08

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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.