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Finding the Third Proportional to 27,108.38 and 58,742.06

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Solution

The third proportional to 27,108.38 and 58,742.06 is: 127,290.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,108.38 : 58,742.06 = 58,742.06 : x
  2. Step 2: Convert to fraction form
    27,108.38/58,742.06 = 58,742.06/x
  3. Step 3: Cross multiply
    27,108.38x = 58,742.06 × 58,742.06
  4. Step 4: Simplify right side
    27,108.38x = 3,450,629,906.75
  5. Step 5: Solve for x
    x = 3,450,629,906.75/27,108.38
  6. Step 6: Final answer
    x = 127,290.18

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.