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Finding the Third Proportional to 4,107.38 and 5,464.69

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Solution

The third proportional to 4,107.38 and 5,464.69 is: 7,270.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.38 : 5,464.69 = 5,464.69 : x
  2. Step 2: Convert to fraction form
    4,107.38/5,464.69 = 5,464.69/x
  3. Step 3: Cross multiply
    4,107.38x = 5,464.69 × 5,464.69
  4. Step 4: Simplify right side
    4,107.38x = 29,862,809.47
  5. Step 5: Solve for x
    x = 29,862,809.47/4,107.38
  6. Step 6: Final answer
    x = 7,270.53

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.