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Finding the Third Proportional to 18,400 and 39,712

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Solution

The third proportional to 18,400 and 39,712 is: 85,708.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,400 : 39,712 = 39,712 : x
  2. Step 2: Convert to fraction form
    18,400/39,712 = 39,712/x
  3. Step 3: Cross multiply
    18,400x = 39,712 × 39,712
  4. Step 4: Simplify right side
    18,400x = 1,577,042,944
  5. Step 5: Solve for x
    x = 1,577,042,944/18,400
  6. Step 6: Final answer
    x = 85,708.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.