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Finding the Third Proportional to 14.91 and 16.13

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Solution

The third proportional to 14.91 and 16.13 is: 17.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.91 : 16.13 = 16.13 : x
  2. Step 2: Convert to fraction form
    14.91/16.13 = 16.13/x
  3. Step 3: Cross multiply
    14.91x = 16.13 × 16.13
  4. Step 4: Simplify right side
    14.91x = 260.02
  5. Step 5: Solve for x
    x = 260.02/14.91
  6. Step 6: Final answer
    x = 17.44

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.