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Finding the Third Proportional to 2,289 and 4,947

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Solution

The third proportional to 2,289 and 4,947 is: 10,691.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289 : 4,947 = 4,947 : x
  2. Step 2: Convert to fraction form
    2,289/4,947 = 4,947/x
  3. Step 3: Cross multiply
    2,289x = 4,947 × 4,947
  4. Step 4: Simplify right side
    2,289x = 24,472,809
  5. Step 5: Solve for x
    x = 24,472,809/2,289
  6. Step 6: Final answer
    x = 10,691.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.