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Finding the Third Proportional to 8.91 and 21.14

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Solution

The third proportional to 8.91 and 21.14 is: 50.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.91 : 21.14 = 21.14 : x
  2. Step 2: Convert to fraction form
    8.91/21.14 = 21.14/x
  3. Step 3: Cross multiply
    8.91x = 21.14 × 21.14
  4. Step 4: Simplify right side
    8.91x = 446.83
  5. Step 5: Solve for x
    x = 446.83/8.91
  6. Step 6: Final answer
    x = 50.15

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.