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Finding the Third Proportional to 40,781.81 and 57,430.69

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Solution

The third proportional to 40,781.81 and 57,430.69 is: 80,876.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,781.81 : 57,430.69 = 57,430.69 : x
  2. Step 2: Convert to fraction form
    40,781.81/57,430.69 = 57,430.69/x
  3. Step 3: Cross multiply
    40,781.81x = 57,430.69 × 57,430.69
  4. Step 4: Simplify right side
    40,781.81x = 3,298,283,866.72
  5. Step 5: Solve for x
    x = 3,298,283,866.72/40,781.81
  6. Step 6: Final answer
    x = 80,876.34

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.