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Finding the Third Proportional to 2.10 and 3.17

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Solution

The third proportional to 2.10 and 3.17 is: 4.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.10 : 3.17 = 3.17 : x
  2. Step 2: Convert to fraction form
    2.10/3.17 = 3.17/x
  3. Step 3: Cross multiply
    2.10x = 3.17 × 3.17
  4. Step 4: Simplify right side
    2.10x = 10.06
  5. Step 5: Solve for x
    x = 10.06/2.10
  6. Step 6: Final answer
    x = 4.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.