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Finding the Third Proportional to 27,394.13 and 58,949.63

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Solution

The third proportional to 27,394.13 and 58,949.63 is: 126,854.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,394.13 : 58,949.63 = 58,949.63 : x
  2. Step 2: Convert to fraction form
    27,394.13/58,949.63 = 58,949.63/x
  3. Step 3: Cross multiply
    27,394.13x = 58,949.63 × 58,949.63
  4. Step 4: Simplify right side
    27,394.13x = 3,475,058,287.64
  5. Step 5: Solve for x
    x = 3,475,058,287.64/27,394.13
  6. Step 6: Final answer
    x = 126,854.14

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