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Finding the Third Proportional to 43,301.25 and 67,686.75

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Solution

The third proportional to 43,301.25 and 67,686.75 is: 105,805.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,301.25 : 67,686.75 = 67,686.75 : x
  2. Step 2: Convert to fraction form
    43,301.25/67,686.75 = 67,686.75/x
  3. Step 3: Cross multiply
    43,301.25x = 67,686.75 × 67,686.75
  4. Step 4: Simplify right side
    43,301.25x = 4,581,496,125.56
  5. Step 5: Solve for x
    x = 4,581,496,125.56/43,301.25
  6. Step 6: Final answer
    x = 105,805.17

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Why These Related Problems?

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