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Finding the Third Proportional to 3.30 and 7.10

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Solution

The third proportional to 3.30 and 7.10 is: 15.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.30 : 7.10 = 7.10 : x
  2. Step 2: Convert to fraction form
    3.30/7.10 = 7.10/x
  3. Step 3: Cross multiply
    3.30x = 7.10 × 7.10
  4. Step 4: Simplify right side
    3.30x = 50.46
  5. Step 5: Solve for x
    x = 50.46/3.30
  6. Step 6: Final answer
    x = 15.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.