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Finding the Third Proportional to 2,166.19 and 2,469.94

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Solution

The third proportional to 2,166.19 and 2,469.94 is: 2,816.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.19 : 2,469.94 = 2,469.94 : x
  2. Step 2: Convert to fraction form
    2,166.19/2,469.94 = 2,469.94/x
  3. Step 3: Cross multiply
    2,166.19x = 2,469.94 × 2,469.94
  4. Step 4: Simplify right side
    2,166.19x = 6,100,591.25
  5. Step 5: Solve for x
    x = 6,100,591.25/2,166.19
  6. Step 6: Final answer
    x = 2,816.28

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.