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Finding the Third Proportional to 2,058.86 and 2,958.71

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Solution

The third proportional to 2,058.86 and 2,958.71 is: 4,251.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.86 : 2,958.71 = 2,958.71 : x
  2. Step 2: Convert to fraction form
    2,058.86/2,958.71 = 2,958.71/x
  3. Step 3: Cross multiply
    2,058.86x = 2,958.71 × 2,958.71
  4. Step 4: Simplify right side
    2,058.86x = 8,753,993.53
  5. Step 5: Solve for x
    x = 8,753,993.53/2,058.86
  6. Step 6: Final answer
    x = 4,251.87

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.