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Finding the Third Proportional to 27,021 and 58,398

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Solution

The third proportional to 27,021 and 58,398 is: 126,210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,021 : 58,398 = 58,398 : x
  2. Step 2: Convert to fraction form
    27,021/58,398 = 58,398/x
  3. Step 3: Cross multiply
    27,021x = 58,398 × 58,398
  4. Step 4: Simplify right side
    27,021x = 3,410,326,404
  5. Step 5: Solve for x
    x = 3,410,326,404/27,021
  6. Step 6: Final answer
    x = 126,210.22

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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.