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Finding the Third Proportional to 14.86 and 19.95

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Solution

The third proportional to 14.86 and 19.95 is: 26.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.86 : 19.95 = 19.95 : x
  2. Step 2: Convert to fraction form
    14.86/19.95 = 19.95/x
  3. Step 3: Cross multiply
    14.86x = 19.95 × 19.95
  4. Step 4: Simplify right side
    14.86x = 397.82
  5. Step 5: Solve for x
    x = 397.82/14.86
  6. Step 6: Final answer
    x = 26.77

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.