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Finding the Third Proportional to 23.45 and 26.23

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Solution

The third proportional to 23.45 and 26.23 is: 29.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.45 : 26.23 = 26.23 : x
  2. Step 2: Convert to fraction form
    23.45/26.23 = 26.23/x
  3. Step 3: Cross multiply
    23.45x = 26.23 × 26.23
  4. Step 4: Simplify right side
    23.45x = 688.02
  5. Step 5: Solve for x
    x = 688.02/23.45
  6. Step 6: Final answer
    x = 29.34

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.