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Finding the Third Proportional to 2,544 and 4,496

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Solution

The third proportional to 2,544 and 4,496 is: 7,945.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544 : 4,496 = 4,496 : x
  2. Step 2: Convert to fraction form
    2,544/4,496 = 4,496/x
  3. Step 3: Cross multiply
    2,544x = 4,496 × 4,496
  4. Step 4: Simplify right side
    2,544x = 20,214,016
  5. Step 5: Solve for x
    x = 20,214,016/2,544
  6. Step 6: Final answer
    x = 7,945.76

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.