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Finding the Third Proportional to 27,414 and 42,597

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Solution

The third proportional to 27,414 and 42,597 is: 66,188.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,414 : 42,597 = 42,597 : x
  2. Step 2: Convert to fraction form
    27,414/42,597 = 42,597/x
  3. Step 3: Cross multiply
    27,414x = 42,597 × 42,597
  4. Step 4: Simplify right side
    27,414x = 1,814,504,409
  5. Step 5: Solve for x
    x = 1,814,504,409/27,414
  6. Step 6: Final answer
    x = 66,188.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.