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Finding the Third Proportional to 41,997.23 and 65,029.08

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Solution

The third proportional to 41,997.23 and 65,029.08 is: 100,691.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,997.23 : 65,029.08 = 65,029.08 : x
  2. Step 2: Convert to fraction form
    41,997.23/65,029.08 = 65,029.08/x
  3. Step 3: Cross multiply
    41,997.23x = 65,029.08 × 65,029.08
  4. Step 4: Simplify right side
    41,997.23x = 4,228,781,001.79
  5. Step 5: Solve for x
    x = 4,228,781,001.79/41,997.23
  6. Step 6: Final answer
    x = 100,691.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.