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Finding the Third Proportional to 4,133.11 and 6,174.35

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Solution

The third proportional to 4,133.11 and 6,174.35 is: 9,223.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.11 : 6,174.35 = 6,174.35 : x
  2. Step 2: Convert to fraction form
    4,133.11/6,174.35 = 6,174.35/x
  3. Step 3: Cross multiply
    4,133.11x = 6,174.35 × 6,174.35
  4. Step 4: Simplify right side
    4,133.11x = 38,122,617.22
  5. Step 5: Solve for x
    x = 38,122,617.22/4,133.11
  6. Step 6: Final answer
    x = 9,223.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.