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Finding the Third Proportional to 41,565.75 and 86,448.75

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Solution

The third proportional to 41,565.75 and 86,448.75 is: 179,796.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,565.75 : 86,448.75 = 86,448.75 : x
  2. Step 2: Convert to fraction form
    41,565.75/86,448.75 = 86,448.75/x
  3. Step 3: Cross multiply
    41,565.75x = 86,448.75 × 86,448.75
  4. Step 4: Simplify right side
    41,565.75x = 7,473,386,376.56
  5. Step 5: Solve for x
    x = 7,473,386,376.56/41,565.75
  6. Step 6: Final answer
    x = 179,796.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.