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Finding the Third Proportional to 3,221.50 and 3,532

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Solution

The third proportional to 3,221.50 and 3,532 is: 3,872.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.50 : 3,532 = 3,532 : x
  2. Step 2: Convert to fraction form
    3,221.50/3,532 = 3,532/x
  3. Step 3: Cross multiply
    3,221.50x = 3,532 × 3,532
  4. Step 4: Simplify right side
    3,221.50x = 12,475,024
  5. Step 5: Solve for x
    x = 12,475,024/3,221.50
  6. Step 6: Final answer
    x = 3,872.43

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.