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Finding the Third Proportional to 4,249.13 and 7,058.81

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Solution

The third proportional to 4,249.13 and 7,058.81 is: 11,726.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,249.13 : 7,058.81 = 7,058.81 : x
  2. Step 2: Convert to fraction form
    4,249.13/7,058.81 = 7,058.81/x
  3. Step 3: Cross multiply
    4,249.13x = 7,058.81 × 7,058.81
  4. Step 4: Simplify right side
    4,249.13x = 49,826,833.91
  5. Step 5: Solve for x
    x = 49,826,833.91/4,249.13
  6. Step 6: Final answer
    x = 11,726.38

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.