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Finding the Third Proportional to 6,502.78 and 15,321.66

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Solution

The third proportional to 6,502.78 and 15,321.66 is: 36,100.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.78 : 15,321.66 = 15,321.66 : x
  2. Step 2: Convert to fraction form
    6,502.78/15,321.66 = 15,321.66/x
  3. Step 3: Cross multiply
    6,502.78x = 15,321.66 × 15,321.66
  4. Step 4: Simplify right side
    6,502.78x = 234,753,150.24
  5. Step 5: Solve for x
    x = 234,753,150.24/6,502.78
  6. Step 6: Final answer
    x = 36,100.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.