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Finding the Third Proportional to 27,042.19 and 58,647.38

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Solution

The third proportional to 27,042.19 and 58,647.38 is: 127,190.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,042.19 : 58,647.38 = 58,647.38 : x
  2. Step 2: Convert to fraction form
    27,042.19/58,647.38 = 58,647.38/x
  3. Step 3: Cross multiply
    27,042.19x = 58,647.38 × 58,647.38
  4. Step 4: Simplify right side
    27,042.19x = 3,439,514,594.39
  5. Step 5: Solve for x
    x = 3,439,514,594.39/27,042.19
  6. Step 6: Final answer
    x = 127,190.69

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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.