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Finding the Third Proportional to 3.13 and 4.57

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Solution

The third proportional to 3.13 and 4.57 is: 6.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.13 : 4.57 = 4.57 : x
  2. Step 2: Convert to fraction form
    3.13/4.57 = 4.57/x
  3. Step 3: Cross multiply
    3.13x = 4.57 × 4.57
  4. Step 4: Simplify right side
    3.13x = 20.89
  5. Step 5: Solve for x
    x = 20.89/3.13
  6. Step 6: Final answer
    x = 6.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.