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Finding the Third Proportional to 2.39 and 4.10

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Solution

The third proportional to 2.39 and 4.10 is: 7.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.39 : 4.10 = 4.10 : x
  2. Step 2: Convert to fraction form
    2.39/4.10 = 4.10/x
  3. Step 3: Cross multiply
    2.39x = 4.10 × 4.10
  4. Step 4: Simplify right side
    2.39x = 16.77
  5. Step 5: Solve for x
    x = 16.77/2.39
  6. Step 6: Final answer
    x = 7.03

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.