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Finding the Third Proportional to 27,102 and 38,680

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Solution

The third proportional to 27,102 and 38,680 is: 55,204.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,102 : 38,680 = 38,680 : x
  2. Step 2: Convert to fraction form
    27,102/38,680 = 38,680/x
  3. Step 3: Cross multiply
    27,102x = 38,680 × 38,680
  4. Step 4: Simplify right side
    27,102x = 1,496,142,400
  5. Step 5: Solve for x
    x = 1,496,142,400/27,102
  6. Step 6: Final answer
    x = 55,204.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.