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Finding the Third Proportional to 4.52 and 9.39

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Solution

The third proportional to 4.52 and 9.39 is: 19.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.52 : 9.39 = 9.39 : x
  2. Step 2: Convert to fraction form
    4.52/9.39 = 9.39/x
  3. Step 3: Cross multiply
    4.52x = 9.39 × 9.39
  4. Step 4: Simplify right side
    4.52x = 88.23
  5. Step 5: Solve for x
    x = 88.23/4.52
  6. Step 6: Final answer
    x = 19.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.