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Finding the Third Proportional to 43,752.38 and 67,874.06

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Solution

The third proportional to 43,752.38 and 67,874.06 is: 105,294.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,752.38 : 67,874.06 = 67,874.06 : x
  2. Step 2: Convert to fraction form
    43,752.38/67,874.06 = 67,874.06/x
  3. Step 3: Cross multiply
    43,752.38x = 67,874.06 × 67,874.06
  4. Step 4: Simplify right side
    43,752.38x = 4,606,888,360.25
  5. Step 5: Solve for x
    x = 4,606,888,360.25/43,752.38
  6. Step 6: Final answer
    x = 105,294.59

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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.