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Finding the Third Proportional to 52.75 and 70

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Solution

The third proportional to 52.75 and 70 is: 92.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.75 : 70 = 70 : x
  2. Step 2: Convert to fraction form
    52.75/70 = 70/x
  3. Step 3: Cross multiply
    52.75x = 70 × 70
  4. Step 4: Simplify right side
    52.75x = 4,900
  5. Step 5: Solve for x
    x = 4,900/52.75
  6. Step 6: Final answer
    x = 92.89

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.