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Finding the Third Proportional to 8.56 and 23.54

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Solution

The third proportional to 8.56 and 23.54 is: 64.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.56 : 23.54 = 23.54 : x
  2. Step 2: Convert to fraction form
    8.56/23.54 = 23.54/x
  3. Step 3: Cross multiply
    8.56x = 23.54 × 23.54
  4. Step 4: Simplify right side
    8.56x = 554.24
  5. Step 5: Solve for x
    x = 554.24/8.56
  6. Step 6: Final answer
    x = 64.74

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Why These Related Problems?

These problems maintain the same ratio (2.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.