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Finding the Third Proportional to 19,737 and 41,691.38

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Solution

The third proportional to 19,737 and 41,691.38 is: 88,066.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,737 : 41,691.38 = 41,691.38 : x
  2. Step 2: Convert to fraction form
    19,737/41,691.38 = 41,691.38/x
  3. Step 3: Cross multiply
    19,737x = 41,691.38 × 41,691.38
  4. Step 4: Simplify right side
    19,737x = 1,738,170,749.39
  5. Step 5: Solve for x
    x = 1,738,170,749.39/19,737
  6. Step 6: Final answer
    x = 88,066.61

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.