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Finding the Third Proportional to 23.63 and 36.28

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Solution

The third proportional to 23.63 and 36.28 is: 55.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.63 : 36.28 = 36.28 : x
  2. Step 2: Convert to fraction form
    23.63/36.28 = 36.28/x
  3. Step 3: Cross multiply
    23.63x = 36.28 × 36.28
  4. Step 4: Simplify right side
    23.63x = 1,316.33
  5. Step 5: Solve for x
    x = 1,316.33/23.63
  6. Step 6: Final answer
    x = 55.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.