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Finding the Third Proportional to 11.61 and 23.27

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Solution

The third proportional to 11.61 and 23.27 is: 46.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.61 : 23.27 = 23.27 : x
  2. Step 2: Convert to fraction form
    11.61/23.27 = 23.27/x
  3. Step 3: Cross multiply
    11.61x = 23.27 × 23.27
  4. Step 4: Simplify right side
    11.61x = 541.29
  5. Step 5: Solve for x
    x = 541.29/11.61
  6. Step 6: Final answer
    x = 46.63

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.