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Finding the Third Proportional to 36,335.25 and 78,414.75

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Solution

The third proportional to 36,335.25 and 78,414.75 is: 169,226.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,335.25 : 78,414.75 = 78,414.75 : x
  2. Step 2: Convert to fraction form
    36,335.25/78,414.75 = 78,414.75/x
  3. Step 3: Cross multiply
    36,335.25x = 78,414.75 × 78,414.75
  4. Step 4: Simplify right side
    36,335.25x = 6,148,873,017.56
  5. Step 5: Solve for x
    x = 6,148,873,017.56/36,335.25
  6. Step 6: Final answer
    x = 169,226.11

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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.