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Finding the Third Proportional to 27,400 and 43,692

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Solution

The third proportional to 27,400 and 43,692 is: 69,671.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,400 : 43,692 = 43,692 : x
  2. Step 2: Convert to fraction form
    27,400/43,692 = 43,692/x
  3. Step 3: Cross multiply
    27,400x = 43,692 × 43,692
  4. Step 4: Simplify right side
    27,400x = 1,908,990,864
  5. Step 5: Solve for x
    x = 1,908,990,864/27,400
  6. Step 6: Final answer
    x = 69,671.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.