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Finding the Third Proportional to 23.77 and 35.65

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Solution

The third proportional to 23.77 and 35.65 is: 53.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.77 : 35.65 = 35.65 : x
  2. Step 2: Convert to fraction form
    23.77/35.65 = 35.65/x
  3. Step 3: Cross multiply
    23.77x = 35.65 × 35.65
  4. Step 4: Simplify right side
    23.77x = 1,270.81
  5. Step 5: Solve for x
    x = 1,270.81/23.77
  6. Step 6: Final answer
    x = 53.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.