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Finding the Third Proportional to 8.51 and 13.01

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Solution

The third proportional to 8.51 and 13.01 is: 19.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.51 : 13.01 = 13.01 : x
  2. Step 2: Convert to fraction form
    8.51/13.01 = 13.01/x
  3. Step 3: Cross multiply
    8.51x = 13.01 × 13.01
  4. Step 4: Simplify right side
    8.51x = 169.20
  5. Step 5: Solve for x
    x = 169.20/8.51
  6. Step 6: Final answer
    x = 19.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.