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Finding the Third Proportional to 34.52 and 53.47

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Solution

The third proportional to 34.52 and 53.47 is: 82.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.52 : 53.47 = 53.47 : x
  2. Step 2: Convert to fraction form
    34.52/53.47 = 53.47/x
  3. Step 3: Cross multiply
    34.52x = 53.47 × 53.47
  4. Step 4: Simplify right side
    34.52x = 2,858.91
  5. Step 5: Solve for x
    x = 2,858.91/34.52
  6. Step 6: Final answer
    x = 82.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.