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Finding the Third Proportional to 10.64 and 23.27

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Solution

The third proportional to 10.64 and 23.27 is: 50.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.64 : 23.27 = 23.27 : x
  2. Step 2: Convert to fraction form
    10.64/23.27 = 23.27/x
  3. Step 3: Cross multiply
    10.64x = 23.27 × 23.27
  4. Step 4: Simplify right side
    10.64x = 541.61
  5. Step 5: Solve for x
    x = 541.61/10.64
  6. Step 6: Final answer
    x = 50.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.