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Finding the Third Proportional to 2,588.20 and 4,034.81

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Solution

The third proportional to 2,588.20 and 4,034.81 is: 6,289.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.20 : 4,034.81 = 4,034.81 : x
  2. Step 2: Convert to fraction form
    2,588.20/4,034.81 = 4,034.81/x
  3. Step 3: Cross multiply
    2,588.20x = 4,034.81 × 4,034.81
  4. Step 4: Simplify right side
    2,588.20x = 16,279,711.91
  5. Step 5: Solve for x
    x = 16,279,711.91/2,588.20
  6. Step 6: Final answer
    x = 6,289.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.