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Finding the Third Proportional to 52.31 and 81.28

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Solution

The third proportional to 52.31 and 81.28 is: 126.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.31 : 81.28 = 81.28 : x
  2. Step 2: Convert to fraction form
    52.31/81.28 = 81.28/x
  3. Step 3: Cross multiply
    52.31x = 81.28 × 81.28
  4. Step 4: Simplify right side
    52.31x = 6,606.64
  5. Step 5: Solve for x
    x = 6,606.64/52.31
  6. Step 6: Final answer
    x = 126.29

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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.