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Finding the Third Proportional to 2,209.15 and 4,756.85

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Solution

The third proportional to 2,209.15 and 4,756.85 is: 10,242.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.15 : 4,756.85 = 4,756.85 : x
  2. Step 2: Convert to fraction form
    2,209.15/4,756.85 = 4,756.85/x
  3. Step 3: Cross multiply
    2,209.15x = 4,756.85 × 4,756.85
  4. Step 4: Simplify right side
    2,209.15x = 22,627,636.79
  5. Step 5: Solve for x
    x = 22,627,636.79/2,209.15
  6. Step 6: Final answer
    x = 10,242.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.