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Finding the Third Proportional to 2,780 and 4,948

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Solution

The third proportional to 2,780 and 4,948 is: 8,806.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780 : 4,948 = 4,948 : x
  2. Step 2: Convert to fraction form
    2,780/4,948 = 4,948/x
  3. Step 3: Cross multiply
    2,780x = 4,948 × 4,948
  4. Step 4: Simplify right side
    2,780x = 24,482,704
  5. Step 5: Solve for x
    x = 24,482,704/2,780
  6. Step 6: Final answer
    x = 8,806.73

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.