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Finding the Third Proportional to 14.21 and 26.36

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Solution

The third proportional to 14.21 and 26.36 is: 48.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.21 : 26.36 = 26.36 : x
  2. Step 2: Convert to fraction form
    14.21/26.36 = 26.36/x
  3. Step 3: Cross multiply
    14.21x = 26.36 × 26.36
  4. Step 4: Simplify right side
    14.21x = 694.99
  5. Step 5: Solve for x
    x = 694.99/14.21
  6. Step 6: Final answer
    x = 48.92

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.