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Finding the Third Proportional to 27,274 and 59,402

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Solution

The third proportional to 27,274 and 59,402 is: 129,375.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,274 : 59,402 = 59,402 : x
  2. Step 2: Convert to fraction form
    27,274/59,402 = 59,402/x
  3. Step 3: Cross multiply
    27,274x = 59,402 × 59,402
  4. Step 4: Simplify right side
    27,274x = 3,528,597,604
  5. Step 5: Solve for x
    x = 3,528,597,604/27,274
  6. Step 6: Final answer
    x = 129,375.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.