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Finding the Third Proportional to 35,781.75 and 54,614.25

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Solution

The third proportional to 35,781.75 and 54,614.25 is: 83,358.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,781.75 : 54,614.25 = 54,614.25 : x
  2. Step 2: Convert to fraction form
    35,781.75/54,614.25 = 54,614.25/x
  3. Step 3: Cross multiply
    35,781.75x = 54,614.25 × 54,614.25
  4. Step 4: Simplify right side
    35,781.75x = 2,982,716,303.06
  5. Step 5: Solve for x
    x = 2,982,716,303.06/35,781.75
  6. Step 6: Final answer
    x = 83,358.59

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.