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Finding the Third Proportional to 2,209.78 and 4,977.70

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Solution

The third proportional to 2,209.78 and 4,977.70 is: 11,212.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.78 : 4,977.70 = 4,977.70 : x
  2. Step 2: Convert to fraction form
    2,209.78/4,977.70 = 4,977.70/x
  3. Step 3: Cross multiply
    2,209.78x = 4,977.70 × 4,977.70
  4. Step 4: Simplify right side
    2,209.78x = 24,777,528.40
  5. Step 5: Solve for x
    x = 24,777,528.40/2,209.78
  6. Step 6: Final answer
    x = 11,212.66

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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.