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Finding the Third Proportional to 23 and 25.44

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Solution

The third proportional to 23 and 25.44 is: 28.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23 : 25.44 = 25.44 : x
  2. Step 2: Convert to fraction form
    23/25.44 = 25.44/x
  3. Step 3: Cross multiply
    23x = 25.44 × 25.44
  4. Step 4: Simplify right side
    23x = 647.07
  5. Step 5: Solve for x
    x = 647.07/23
  6. Step 6: Final answer
    x = 28.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.