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Finding the Third Proportional to 3,854.25 and 5,222.81

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Solution

The third proportional to 3,854.25 and 5,222.81 is: 7,077.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.25 : 5,222.81 = 5,222.81 : x
  2. Step 2: Convert to fraction form
    3,854.25/5,222.81 = 5,222.81/x
  3. Step 3: Cross multiply
    3,854.25x = 5,222.81 × 5,222.81
  4. Step 4: Simplify right side
    3,854.25x = 27,277,770.41
  5. Step 5: Solve for x
    x = 27,277,770.41/3,854.25
  6. Step 6: Final answer
    x = 7,077.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.