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Finding the Third Proportional to 27,338 and 58,982

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Solution

The third proportional to 27,338 and 58,982 is: 127,254.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,338 : 58,982 = 58,982 : x
  2. Step 2: Convert to fraction form
    27,338/58,982 = 58,982/x
  3. Step 3: Cross multiply
    27,338x = 58,982 × 58,982
  4. Step 4: Simplify right side
    27,338x = 3,478,876,324
  5. Step 5: Solve for x
    x = 3,478,876,324/27,338
  6. Step 6: Final answer
    x = 127,254.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.