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Finding the Third Proportional to 20,998.13 and 45,381.38

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Solution

The third proportional to 20,998.13 and 45,381.38 is: 98,078.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,998.13 : 45,381.38 = 45,381.38 : x
  2. Step 2: Convert to fraction form
    20,998.13/45,381.38 = 45,381.38/x
  3. Step 3: Cross multiply
    20,998.13x = 45,381.38 × 45,381.38
  4. Step 4: Simplify right side
    20,998.13x = 2,059,469,196.89
  5. Step 5: Solve for x
    x = 2,059,469,196.89/20,998.13
  6. Step 6: Final answer
    x = 98,078.72

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.