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Finding the Third Proportional to 4,102.31 and 6,151.78

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Solution

The third proportional to 4,102.31 and 6,151.78 is: 9,225.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.31 : 6,151.78 = 6,151.78 : x
  2. Step 2: Convert to fraction form
    4,102.31/6,151.78 = 6,151.78/x
  3. Step 3: Cross multiply
    4,102.31x = 6,151.78 × 6,151.78
  4. Step 4: Simplify right side
    4,102.31x = 37,844,412.55
  5. Step 5: Solve for x
    x = 37,844,412.55/4,102.31
  6. Step 6: Final answer
    x = 9,225.14

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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.