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Finding the Third Proportional to 43,959.38 and 68,024.81

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Solution

The third proportional to 43,959.38 and 68,024.81 is: 105,264.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,959.38 : 68,024.81 = 68,024.81 : x
  2. Step 2: Convert to fraction form
    43,959.38/68,024.81 = 68,024.81/x
  3. Step 3: Cross multiply
    43,959.38x = 68,024.81 × 68,024.81
  4. Step 4: Simplify right side
    43,959.38x = 4,627,375,115.66
  5. Step 5: Solve for x
    x = 4,627,375,115.66/43,959.38
  6. Step 6: Final answer
    x = 105,264.81

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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.