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Finding the Third Proportional to 14.95 and 23.85

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Solution

The third proportional to 14.95 and 23.85 is: 38.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.95 : 23.85 = 23.85 : x
  2. Step 2: Convert to fraction form
    14.95/23.85 = 23.85/x
  3. Step 3: Cross multiply
    14.95x = 23.85 × 23.85
  4. Step 4: Simplify right side
    14.95x = 568.78
  5. Step 5: Solve for x
    x = 568.78/14.95
  6. Step 6: Final answer
    x = 38.05

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.