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Finding the Third Proportional to 3,241.75 and 4,720.88

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Solution

The third proportional to 3,241.75 and 4,720.88 is: 6,874.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.75 : 4,720.88 = 4,720.88 : x
  2. Step 2: Convert to fraction form
    3,241.75/4,720.88 = 4,720.88/x
  3. Step 3: Cross multiply
    3,241.75x = 4,720.88 × 4,720.88
  4. Step 4: Simplify right side
    3,241.75x = 22,286,660.77
  5. Step 5: Solve for x
    x = 22,286,660.77/3,241.75
  6. Step 6: Final answer
    x = 6,874.89

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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.