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Finding the Third Proportional to 3.43 and 4.65

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Solution

The third proportional to 3.43 and 4.65 is: 6.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.43 : 4.65 = 4.65 : x
  2. Step 2: Convert to fraction form
    3.43/4.65 = 4.65/x
  3. Step 3: Cross multiply
    3.43x = 4.65 × 4.65
  4. Step 4: Simplify right side
    3.43x = 21.62
  5. Step 5: Solve for x
    x = 21.62/3.43
  6. Step 6: Final answer
    x = 6.31

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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.