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Finding the Third Proportional to 3,221.13 and 4,841.88

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Solution

The third proportional to 3,221.13 and 4,841.88 is: 7,278.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.13 : 4,841.88 = 4,841.88 : x
  2. Step 2: Convert to fraction form
    3,221.13/4,841.88 = 4,841.88/x
  3. Step 3: Cross multiply
    3,221.13x = 4,841.88 × 4,841.88
  4. Step 4: Simplify right side
    3,221.13x = 23,443,753.52
  5. Step 5: Solve for x
    x = 23,443,753.52/3,221.13
  6. Step 6: Final answer
    x = 7,278.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.