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Finding the Third Proportional to 23.63 and 27.13

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Solution

The third proportional to 23.63 and 27.13 is: 31.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.63 : 27.13 = 27.13 : x
  2. Step 2: Convert to fraction form
    23.63/27.13 = 27.13/x
  3. Step 3: Cross multiply
    23.63x = 27.13 × 27.13
  4. Step 4: Simplify right side
    23.63x = 735.77
  5. Step 5: Solve for x
    x = 735.77/23.63
  6. Step 6: Final answer
    x = 31.14

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.