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Finding the Third Proportional to 4,791.66 and 7,438.08

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Solution

The third proportional to 4,791.66 and 7,438.08 is: 11,546.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,791.66 : 7,438.08 = 7,438.08 : x
  2. Step 2: Convert to fraction form
    4,791.66/7,438.08 = 7,438.08/x
  3. Step 3: Cross multiply
    4,791.66x = 7,438.08 × 7,438.08
  4. Step 4: Simplify right side
    4,791.66x = 55,325,006.19
  5. Step 5: Solve for x
    x = 55,325,006.19/4,791.66
  6. Step 6: Final answer
    x = 11,546.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.