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Finding the Third Proportional to 23 and 55.63

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Solution

The third proportional to 23 and 55.63 is: 134.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23 : 55.63 = 55.63 : x
  2. Step 2: Convert to fraction form
    23/55.63 = 55.63/x
  3. Step 3: Cross multiply
    23x = 55.63 × 55.63
  4. Step 4: Simplify right side
    23x = 3,094.14
  5. Step 5: Solve for x
    x = 3,094.14/23
  6. Step 6: Final answer
    x = 134.53

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.