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Finding the Third Proportional to 31.48 and 65.81

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Solution

The third proportional to 31.48 and 65.81 is: 137.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.48 : 65.81 = 65.81 : x
  2. Step 2: Convert to fraction form
    31.48/65.81 = 65.81/x
  3. Step 3: Cross multiply
    31.48x = 65.81 × 65.81
  4. Step 4: Simplify right side
    31.48x = 4,331.29
  5. Step 5: Solve for x
    x = 4,331.29/31.48
  6. Step 6: Final answer
    x = 137.58

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.