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Finding the Third Proportional to 2,242 and 4,751

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Solution

The third proportional to 2,242 and 4,751 is: 10,067.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242 : 4,751 = 4,751 : x
  2. Step 2: Convert to fraction form
    2,242/4,751 = 4,751/x
  3. Step 3: Cross multiply
    2,242x = 4,751 × 4,751
  4. Step 4: Simplify right side
    2,242x = 22,572,001
  5. Step 5: Solve for x
    x = 22,572,001/2,242
  6. Step 6: Final answer
    x = 10,067.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.