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Finding the Third Proportional to 20,098.13 and 32,253.19

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Solution

The third proportional to 20,098.13 and 32,253.19 is: 51,759.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.13 : 32,253.19 = 32,253.19 : x
  2. Step 2: Convert to fraction form
    20,098.13/32,253.19 = 32,253.19/x
  3. Step 3: Cross multiply
    20,098.13x = 32,253.19 × 32,253.19
  4. Step 4: Simplify right side
    20,098.13x = 1,040,268,103.91
  5. Step 5: Solve for x
    x = 1,040,268,103.91/20,098.13
  6. Step 6: Final answer
    x = 51,759.46

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.