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Finding the Third Proportional to 27,266 and 58,707

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Solution

The third proportional to 27,266 and 58,707 is: 126,403.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,266 : 58,707 = 58,707 : x
  2. Step 2: Convert to fraction form
    27,266/58,707 = 58,707/x
  3. Step 3: Cross multiply
    27,266x = 58,707 × 58,707
  4. Step 4: Simplify right side
    27,266x = 3,446,511,849
  5. Step 5: Solve for x
    x = 3,446,511,849/27,266
  6. Step 6: Final answer
    x = 126,403.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.