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Finding the Third Proportional to 2,034.78 and 3,058.47

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Solution

The third proportional to 2,034.78 and 3,058.47 is: 4,597.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.78 : 3,058.47 = 3,058.47 : x
  2. Step 2: Convert to fraction form
    2,034.78/3,058.47 = 3,058.47/x
  3. Step 3: Cross multiply
    2,034.78x = 3,058.47 × 3,058.47
  4. Step 4: Simplify right side
    2,034.78x = 9,354,231.09
  5. Step 5: Solve for x
    x = 9,354,231.09/2,034.78
  6. Step 6: Final answer
    x = 4,597.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.