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Finding the Third Proportional to 2.76 and 7.10

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Solution

The third proportional to 2.76 and 7.10 is: 18.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.76 : 7.10 = 7.10 : x
  2. Step 2: Convert to fraction form
    2.76/7.10 = 7.10/x
  3. Step 3: Cross multiply
    2.76x = 7.10 × 7.10
  4. Step 4: Simplify right side
    2.76x = 50.38
  5. Step 5: Solve for x
    x = 50.38/2.76
  6. Step 6: Final answer
    x = 18.23

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.