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Finding the Third Proportional to 23.23 and 31.06

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Solution

The third proportional to 23.23 and 31.06 is: 41.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.23 : 31.06 = 31.06 : x
  2. Step 2: Convert to fraction form
    23.23/31.06 = 31.06/x
  3. Step 3: Cross multiply
    23.23x = 31.06 × 31.06
  4. Step 4: Simplify right side
    23.23x = 964.55
  5. Step 5: Solve for x
    x = 964.55/23.23
  6. Step 6: Final answer
    x = 41.53

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.