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Finding the Third Proportional to 2,221.17 and 4,884.21

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Solution

The third proportional to 2,221.17 and 4,884.21 is: 10,740.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.17 : 4,884.21 = 4,884.21 : x
  2. Step 2: Convert to fraction form
    2,221.17/4,884.21 = 4,884.21/x
  3. Step 3: Cross multiply
    2,221.17x = 4,884.21 × 4,884.21
  4. Step 4: Simplify right side
    2,221.17x = 23,855,459.25
  5. Step 5: Solve for x
    x = 23,855,459.25/2,221.17
  6. Step 6: Final answer
    x = 10,740.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.