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Finding the Third Proportional to 31,274 and 63,822

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Solution

The third proportional to 31,274 and 63,822 is: 130,243.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,274 : 63,822 = 63,822 : x
  2. Step 2: Convert to fraction form
    31,274/63,822 = 63,822/x
  3. Step 3: Cross multiply
    31,274x = 63,822 × 63,822
  4. Step 4: Simplify right side
    31,274x = 4,073,247,684
  5. Step 5: Solve for x
    x = 4,073,247,684/31,274
  6. Step 6: Final answer
    x = 130,243.90

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.