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Finding the Third Proportional to 18,538 and 27,597

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Solution

The third proportional to 18,538 and 27,597 is: 41,082.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,538 : 27,597 = 27,597 : x
  2. Step 2: Convert to fraction form
    18,538/27,597 = 27,597/x
  3. Step 3: Cross multiply
    18,538x = 27,597 × 27,597
  4. Step 4: Simplify right side
    18,538x = 761,594,409
  5. Step 5: Solve for x
    x = 761,594,409/18,538
  6. Step 6: Final answer
    x = 41,082.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.