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Finding the Third Proportional to 2,122.77 and 4,994.79

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Solution

The third proportional to 2,122.77 and 4,994.79 is: 11,752.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.77 : 4,994.79 = 4,994.79 : x
  2. Step 2: Convert to fraction form
    2,122.77/4,994.79 = 4,994.79/x
  3. Step 3: Cross multiply
    2,122.77x = 4,994.79 × 4,994.79
  4. Step 4: Simplify right side
    2,122.77x = 24,947,917.78
  5. Step 5: Solve for x
    x = 24,947,917.78/2,122.77
  6. Step 6: Final answer
    x = 11,752.53

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.