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Finding the Third Proportional to 9.91 and 23.37

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Solution

The third proportional to 9.91 and 23.37 is: 55.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.91 : 23.37 = 23.37 : x
  2. Step 2: Convert to fraction form
    9.91/23.37 = 23.37/x
  3. Step 3: Cross multiply
    9.91x = 23.37 × 23.37
  4. Step 4: Simplify right side
    9.91x = 546.25
  5. Step 5: Solve for x
    x = 546.25/9.91
  6. Step 6: Final answer
    x = 55.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.