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Finding the Third Proportional to 3,241.88 and 4,720.69

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Solution

The third proportional to 3,241.88 and 4,720.69 is: 6,874.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.88 : 4,720.69 = 4,720.69 : x
  2. Step 2: Convert to fraction form
    3,241.88/4,720.69 = 4,720.69/x
  3. Step 3: Cross multiply
    3,241.88x = 4,720.69 × 4,720.69
  4. Step 4: Simplify right side
    3,241.88x = 22,284,890.47
  5. Step 5: Solve for x
    x = 22,284,890.47/3,241.88
  6. Step 6: Final answer
    x = 6,874.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.