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Finding the Third Proportional to 2,783.11 and 5,220.70

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Solution

The third proportional to 2,783.11 and 5,220.70 is: 9,793.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.11 : 5,220.70 = 5,220.70 : x
  2. Step 2: Convert to fraction form
    2,783.11/5,220.70 = 5,220.70/x
  3. Step 3: Cross multiply
    2,783.11x = 5,220.70 × 5,220.70
  4. Step 4: Simplify right side
    2,783.11x = 27,255,741.12
  5. Step 5: Solve for x
    x = 27,255,741.12/2,783.11
  6. Step 6: Final answer
    x = 9,793.27

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.