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Finding the Third Proportional to 27,976 and 38,412

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Solution

The third proportional to 27,976 and 38,412 is: 52,740.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,976 : 38,412 = 38,412 : x
  2. Step 2: Convert to fraction form
    27,976/38,412 = 38,412/x
  3. Step 3: Cross multiply
    27,976x = 38,412 × 38,412
  4. Step 4: Simplify right side
    27,976x = 1,475,481,744
  5. Step 5: Solve for x
    x = 1,475,481,744/27,976
  6. Step 6: Final answer
    x = 52,740.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.