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Finding the Third Proportional to 2,166.75 and 2,876.77

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Solution

The third proportional to 2,166.75 and 2,876.77 is: 3,819.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.75 : 2,876.77 = 2,876.77 : x
  2. Step 2: Convert to fraction form
    2,166.75/2,876.77 = 2,876.77/x
  3. Step 3: Cross multiply
    2,166.75x = 2,876.77 × 2,876.77
  4. Step 4: Simplify right side
    2,166.75x = 8,275,780.46
  5. Step 5: Solve for x
    x = 8,275,780.46/2,166.75
  6. Step 6: Final answer
    x = 3,819.44

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.