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Finding the Third Proportional to 31,816 and 43,188

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Solution

The third proportional to 31,816 and 43,188 is: 58,624.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,816 : 43,188 = 43,188 : x
  2. Step 2: Convert to fraction form
    31,816/43,188 = 43,188/x
  3. Step 3: Cross multiply
    31,816x = 43,188 × 43,188
  4. Step 4: Simplify right side
    31,816x = 1,865,203,344
  5. Step 5: Solve for x
    x = 1,865,203,344/31,816
  6. Step 6: Final answer
    x = 58,624.70

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.