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Finding the Third Proportional to 48 and 82.31

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Solution

The third proportional to 48 and 82.31 is: 141.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    48 : 82.31 = 82.31 : x
  2. Step 2: Convert to fraction form
    48/82.31 = 82.31/x
  3. Step 3: Cross multiply
    48x = 82.31 × 82.31
  4. Step 4: Simplify right side
    48x = 6,775.35
  5. Step 5: Solve for x
    x = 6,775.35/48
  6. Step 6: Final answer
    x = 141.15

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.