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Finding the Third Proportional to 4,434.88 and 7,391.19

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Solution

The third proportional to 4,434.88 and 7,391.19 is: 12,318.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,434.88 : 7,391.19 = 7,391.19 : x
  2. Step 2: Convert to fraction form
    4,434.88/7,391.19 = 7,391.19/x
  3. Step 3: Cross multiply
    4,434.88x = 7,391.19 × 7,391.19
  4. Step 4: Simplify right side
    4,434.88x = 54,629,652.66
  5. Step 5: Solve for x
    x = 54,629,652.66/4,434.88
  6. Step 6: Final answer
    x = 12,318.19

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.