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Finding the Third Proportional to 31,524.75 and 68,298.75

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Solution

The third proportional to 31,524.75 and 68,298.75 is: 147,970.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,524.75 : 68,298.75 = 68,298.75 : x
  2. Step 2: Convert to fraction form
    31,524.75/68,298.75 = 68,298.75/x
  3. Step 3: Cross multiply
    31,524.75x = 68,298.75 × 68,298.75
  4. Step 4: Simplify right side
    31,524.75x = 4,664,719,251.56
  5. Step 5: Solve for x
    x = 4,664,719,251.56/31,524.75
  6. Step 6: Final answer
    x = 147,970.06

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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.