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Finding the Third Proportional to 10.88 and 26.23

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Solution

The third proportional to 10.88 and 26.23 is: 63.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.88 : 26.23 = 26.23 : x
  2. Step 2: Convert to fraction form
    10.88/26.23 = 26.23/x
  3. Step 3: Cross multiply
    10.88x = 26.23 × 26.23
  4. Step 4: Simplify right side
    10.88x = 688.24
  5. Step 5: Solve for x
    x = 688.24/10.88
  6. Step 6: Final answer
    x = 63.29

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.