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Finding the Third Proportional to 27,271 and 36,829

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Solution

The third proportional to 27,271 and 36,829 is: 49,736.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,271 : 36,829 = 36,829 : x
  2. Step 2: Convert to fraction form
    27,271/36,829 = 36,829/x
  3. Step 3: Cross multiply
    27,271x = 36,829 × 36,829
  4. Step 4: Simplify right side
    27,271x = 1,356,375,241
  5. Step 5: Solve for x
    x = 1,356,375,241/27,271
  6. Step 6: Final answer
    x = 49,736.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.