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Finding the Third Proportional to 3,281.50 and 4,421

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Solution

The third proportional to 3,281.50 and 4,421 is: 5,956.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.50 : 4,421 = 4,421 : x
  2. Step 2: Convert to fraction form
    3,281.50/4,421 = 4,421/x
  3. Step 3: Cross multiply
    3,281.50x = 4,421 × 4,421
  4. Step 4: Simplify right side
    3,281.50x = 19,545,241
  5. Step 5: Solve for x
    x = 19,545,241/3,281.50
  6. Step 6: Final answer
    x = 5,956.19

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.