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Finding the Third Proportional to 2,132.81 and 3,267.19

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Solution

The third proportional to 2,132.81 and 3,267.19 is: 5,004.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.81 : 3,267.19 = 3,267.19 : x
  2. Step 2: Convert to fraction form
    2,132.81/3,267.19 = 3,267.19/x
  3. Step 3: Cross multiply
    2,132.81x = 3,267.19 × 3,267.19
  4. Step 4: Simplify right side
    2,132.81x = 10,674,514.16
  5. Step 5: Solve for x
    x = 10,674,514.16/2,132.81
  6. Step 6: Final answer
    x = 5,004.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.