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Finding the Third Proportional to 40,226.25 and 86,775.38

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Solution

The third proportional to 40,226.25 and 86,775.38 is: 187,190.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,226.25 : 86,775.38 = 86,775.38 : x
  2. Step 2: Convert to fraction form
    40,226.25/86,775.38 = 86,775.38/x
  3. Step 3: Cross multiply
    40,226.25x = 86,775.38 × 86,775.38
  4. Step 4: Simplify right side
    40,226.25x = 7,529,965,706.39
  5. Step 5: Solve for x
    x = 7,529,965,706.39/40,226.25
  6. Step 6: Final answer
    x = 187,190.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.