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Finding the Third Proportional to 2,202 and 4,463

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Solution

The third proportional to 2,202 and 4,463 is: 9,045.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202 : 4,463 = 4,463 : x
  2. Step 2: Convert to fraction form
    2,202/4,463 = 4,463/x
  3. Step 3: Cross multiply
    2,202x = 4,463 × 4,463
  4. Step 4: Simplify right side
    2,202x = 19,918,369
  5. Step 5: Solve for x
    x = 19,918,369/2,202
  6. Step 6: Final answer
    x = 9,045.58

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.