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Finding the Third Proportional to 27,248 and 36,982

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Solution

The third proportional to 27,248 and 36,982 is: 50,193.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,248 : 36,982 = 36,982 : x
  2. Step 2: Convert to fraction form
    27,248/36,982 = 36,982/x
  3. Step 3: Cross multiply
    27,248x = 36,982 × 36,982
  4. Step 4: Simplify right side
    27,248x = 1,367,668,324
  5. Step 5: Solve for x
    x = 1,367,668,324/27,248
  6. Step 6: Final answer
    x = 50,193.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.