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Finding the Third Proportional to 15.75 and 23.77

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Solution

The third proportional to 15.75 and 23.77 is: 35.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.75 : 23.77 = 23.77 : x
  2. Step 2: Convert to fraction form
    15.75/23.77 = 23.77/x
  3. Step 3: Cross multiply
    15.75x = 23.77 × 23.77
  4. Step 4: Simplify right side
    15.75x = 564.80
  5. Step 5: Solve for x
    x = 564.80/15.75
  6. Step 6: Final answer
    x = 35.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.