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Finding the Third Proportional to 38.75 and 52.25

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Solution

The third proportional to 38.75 and 52.25 is: 70.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.75 : 52.25 = 52.25 : x
  2. Step 2: Convert to fraction form
    38.75/52.25 = 52.25/x
  3. Step 3: Cross multiply
    38.75x = 52.25 × 52.25
  4. Step 4: Simplify right side
    38.75x = 2,730.06
  5. Step 5: Solve for x
    x = 2,730.06/38.75
  6. Step 6: Final answer
    x = 70.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.