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Finding the Third Proportional to 2.42 and 3.52

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Solution

The third proportional to 2.42 and 3.52 is: 5.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.42 : 3.52 = 3.52 : x
  2. Step 2: Convert to fraction form
    2.42/3.52 = 3.52/x
  3. Step 3: Cross multiply
    2.42x = 3.52 × 3.52
  4. Step 4: Simplify right side
    2.42x = 12.41
  5. Step 5: Solve for x
    x = 12.41/2.42
  6. Step 6: Final answer
    x = 5.13

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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.