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Finding the Third Proportional to 23 and 47.56

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Solution

The third proportional to 23 and 47.56 is: 98.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23 : 47.56 = 47.56 : x
  2. Step 2: Convert to fraction form
    23/47.56 = 47.56/x
  3. Step 3: Cross multiply
    23x = 47.56 × 47.56
  4. Step 4: Simplify right side
    23x = 2,262.19
  5. Step 5: Solve for x
    x = 2,262.19/23
  6. Step 6: Final answer
    x = 98.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.