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Finding the Third Proportional to 4,168.97 and 7,722.84

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Solution

The third proportional to 4,168.97 and 7,722.84 is: 14,306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,168.97 : 7,722.84 = 7,722.84 : x
  2. Step 2: Convert to fraction form
    4,168.97/7,722.84 = 7,722.84/x
  3. Step 3: Cross multiply
    4,168.97x = 7,722.84 × 7,722.84
  4. Step 4: Simplify right side
    4,168.97x = 59,642,315.59
  5. Step 5: Solve for x
    x = 59,642,315.59/4,168.97
  6. Step 6: Final answer
    x = 14,306.25

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.