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Finding the Third Proportional to 21.36 and 46.51

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Solution

The third proportional to 21.36 and 46.51 is: 101.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.36 : 46.51 = 46.51 : x
  2. Step 2: Convert to fraction form
    21.36/46.51 = 46.51/x
  3. Step 3: Cross multiply
    21.36x = 46.51 × 46.51
  4. Step 4: Simplify right side
    21.36x = 2,163.34
  5. Step 5: Solve for x
    x = 2,163.34/21.36
  6. Step 6: Final answer
    x = 101.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.