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Finding the Third Proportional to 40,097.53 and 86,811.75

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Solution

The third proportional to 40,097.53 and 86,811.75 is: 187,948.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,097.53 : 86,811.75 = 86,811.75 : x
  2. Step 2: Convert to fraction form
    40,097.53/86,811.75 = 86,811.75/x
  3. Step 3: Cross multiply
    40,097.53x = 86,811.75 × 86,811.75
  4. Step 4: Simplify right side
    40,097.53x = 7,536,279,938.06
  5. Step 5: Solve for x
    x = 7,536,279,938.06/40,097.53
  6. Step 6: Final answer
    x = 187,948.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.