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Finding the Third Proportional to 43,281.75 and 67,656.38

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Solution

The third proportional to 43,281.75 and 67,656.38 is: 105,757.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,281.75 : 67,656.38 = 67,656.38 : x
  2. Step 2: Convert to fraction form
    43,281.75/67,656.38 = 67,656.38/x
  3. Step 3: Cross multiply
    43,281.75x = 67,656.38 × 67,656.38
  4. Step 4: Simplify right side
    43,281.75x = 4,577,385,078.14
  5. Step 5: Solve for x
    x = 4,577,385,078.14/43,281.75
  6. Step 6: Final answer
    x = 105,757.86

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.