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Finding the Third Proportional to 3.46 and 5.07

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Solution

The third proportional to 3.46 and 5.07 is: 7.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.46 : 5.07 = 5.07 : x
  2. Step 2: Convert to fraction form
    3.46/5.07 = 5.07/x
  3. Step 3: Cross multiply
    3.46x = 5.07 × 5.07
  4. Step 4: Simplify right side
    3.46x = 25.69
  5. Step 5: Solve for x
    x = 25.69/3.46
  6. Step 6: Final answer
    x = 7.42

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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.