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Finding the Third Proportional to 18,712 and 31,180

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Solution

The third proportional to 18,712 and 31,180 is: 51,955.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,712 : 31,180 = 31,180 : x
  2. Step 2: Convert to fraction form
    18,712/31,180 = 31,180/x
  3. Step 3: Cross multiply
    18,712x = 31,180 × 31,180
  4. Step 4: Simplify right side
    18,712x = 972,192,400
  5. Step 5: Solve for x
    x = 972,192,400/18,712
  6. Step 6: Final answer
    x = 51,955.56

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.