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Finding the Third Proportional to 1,040.06 and 2,514.09

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Solution

The third proportional to 1,040.06 and 2,514.09 is: 6,077.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.06 : 2,514.09 = 2,514.09 : x
  2. Step 2: Convert to fraction form
    1,040.06/2,514.09 = 2,514.09/x
  3. Step 3: Cross multiply
    1,040.06x = 2,514.09 × 2,514.09
  4. Step 4: Simplify right side
    1,040.06x = 6,320,667.38
  5. Step 5: Solve for x
    x = 6,320,667.38/1,040.06
  6. Step 6: Final answer
    x = 6,077.20

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.