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Finding the Third Proportional to 8,035.31 and 16,462.13

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Solution

The third proportional to 8,035.31 and 16,462.13 is: 33,726.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,035.31 : 16,462.13 = 16,462.13 : x
  2. Step 2: Convert to fraction form
    8,035.31/16,462.13 = 16,462.13/x
  3. Step 3: Cross multiply
    8,035.31x = 16,462.13 × 16,462.13
  4. Step 4: Simplify right side
    8,035.31x = 271,001,559.52
  5. Step 5: Solve for x
    x = 271,001,559.52/8,035.31
  6. Step 6: Final answer
    x = 33,726.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.