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Finding the Third Proportional to 52.07 and 79.22

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Solution

The third proportional to 52.07 and 79.22 is: 120.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.07 : 79.22 = 79.22 : x
  2. Step 2: Convert to fraction form
    52.07/79.22 = 79.22/x
  3. Step 3: Cross multiply
    52.07x = 79.22 × 79.22
  4. Step 4: Simplify right side
    52.07x = 6,276.54
  5. Step 5: Solve for x
    x = 6,276.54/52.07
  6. Step 6: Final answer
    x = 120.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.