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Finding the Third Proportional to 27,382 and 36,402

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Solution

The third proportional to 27,382 and 36,402 is: 48,393.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,382 : 36,402 = 36,402 : x
  2. Step 2: Convert to fraction form
    27,382/36,402 = 36,402/x
  3. Step 3: Cross multiply
    27,382x = 36,402 × 36,402
  4. Step 4: Simplify right side
    27,382x = 1,325,105,604
  5. Step 5: Solve for x
    x = 1,325,105,604/27,382
  6. Step 6: Final answer
    x = 48,393.31

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.