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Finding the Third Proportional to 40,747.50 and 86,448.75

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Solution

The third proportional to 40,747.50 and 86,448.75 is: 183,407.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,747.50 : 86,448.75 = 86,448.75 : x
  2. Step 2: Convert to fraction form
    40,747.50/86,448.75 = 86,448.75/x
  3. Step 3: Cross multiply
    40,747.50x = 86,448.75 × 86,448.75
  4. Step 4: Simplify right side
    40,747.50x = 7,473,386,376.56
  5. Step 5: Solve for x
    x = 7,473,386,376.56/40,747.50
  6. Step 6: Final answer
    x = 183,407.24

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.