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Finding the Third Proportional to 23.65 and 50.93

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Solution

The third proportional to 23.65 and 50.93 is: 109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.65 : 50.93 = 50.93 : x
  2. Step 2: Convert to fraction form
    23.65/50.93 = 50.93/x
  3. Step 3: Cross multiply
    23.65x = 50.93 × 50.93
  4. Step 4: Simplify right side
    23.65x = 2,593.91
  5. Step 5: Solve for x
    x = 2,593.91/23.65
  6. Step 6: Final answer
    x = 109.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.