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Finding the Third Proportional to 37,226.25 and 87,864.75

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Solution

The third proportional to 37,226.25 and 87,864.75 is: 207,386.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,226.25 : 87,864.75 = 87,864.75 : x
  2. Step 2: Convert to fraction form
    37,226.25/87,864.75 = 87,864.75/x
  3. Step 3: Cross multiply
    37,226.25x = 87,864.75 × 87,864.75
  4. Step 4: Simplify right side
    37,226.25x = 7,720,214,292.56
  5. Step 5: Solve for x
    x = 7,720,214,292.56/37,226.25
  6. Step 6: Final answer
    x = 207,386.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.