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Finding the Third Proportional to 2,868.75 and 4,194.56

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Solution

The third proportional to 2,868.75 and 4,194.56 is: 6,133.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.75 : 4,194.56 = 4,194.56 : x
  2. Step 2: Convert to fraction form
    2,868.75/4,194.56 = 4,194.56/x
  3. Step 3: Cross multiply
    2,868.75x = 4,194.56 × 4,194.56
  4. Step 4: Simplify right side
    2,868.75x = 17,594,354.57
  5. Step 5: Solve for x
    x = 17,594,354.57/2,868.75
  6. Step 6: Final answer
    x = 6,133.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.