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Finding the Third Proportional to 2,031.75 and 3,633.19

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Solution

The third proportional to 2,031.75 and 3,633.19 is: 6,496.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.75 : 3,633.19 = 3,633.19 : x
  2. Step 2: Convert to fraction form
    2,031.75/3,633.19 = 3,633.19/x
  3. Step 3: Cross multiply
    2,031.75x = 3,633.19 × 3,633.19
  4. Step 4: Simplify right side
    2,031.75x = 13,200,051.41
  5. Step 5: Solve for x
    x = 13,200,051.41/2,031.75
  6. Step 6: Final answer
    x = 6,496.89

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.