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Finding the Third Proportional to 31,864 and 48,228

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Solution

The third proportional to 31,864 and 48,228 is: 72,995.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,864 : 48,228 = 48,228 : x
  2. Step 2: Convert to fraction form
    31,864/48,228 = 48,228/x
  3. Step 3: Cross multiply
    31,864x = 48,228 × 48,228
  4. Step 4: Simplify right side
    31,864x = 2,325,939,984
  5. Step 5: Solve for x
    x = 2,325,939,984/31,864
  6. Step 6: Final answer
    x = 72,995.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.