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Finding the Third Proportional to 19,045.13 and 41,781.38

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Solution

The third proportional to 19,045.13 and 41,781.38 is: 91,660.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,045.13 : 41,781.38 = 41,781.38 : x
  2. Step 2: Convert to fraction form
    19,045.13/41,781.38 = 41,781.38/x
  3. Step 3: Cross multiply
    19,045.13x = 41,781.38 × 41,781.38
  4. Step 4: Simplify right side
    19,045.13x = 1,745,683,296.89
  5. Step 5: Solve for x
    x = 1,745,683,296.89/19,045.13
  6. Step 6: Final answer
    x = 91,660.37

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.