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Finding the Third Proportional to 13,633.88 and 20,001.38

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Solution

The third proportional to 13,633.88 and 20,001.38 is: 29,342.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,633.88 : 20,001.38 = 20,001.38 : x
  2. Step 2: Convert to fraction form
    13,633.88/20,001.38 = 20,001.38/x
  3. Step 3: Cross multiply
    13,633.88x = 20,001.38 × 20,001.38
  4. Step 4: Simplify right side
    13,633.88x = 400,055,001.89
  5. Step 5: Solve for x
    x = 400,055,001.89/13,633.88
  6. Step 6: Final answer
    x = 29,342.72

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.