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Finding the Third Proportional to 52.22 and 75.22

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Solution

The third proportional to 52.22 and 75.22 is: 108.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.22 : 75.22 = 75.22 : x
  2. Step 2: Convert to fraction form
    52.22/75.22 = 75.22/x
  3. Step 3: Cross multiply
    52.22x = 75.22 × 75.22
  4. Step 4: Simplify right side
    52.22x = 5,657.86
  5. Step 5: Solve for x
    x = 5,657.86/52.22
  6. Step 6: Final answer
    x = 108.35

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.