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Finding the Third Proportional to 21.13 and 49.81

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Solution

The third proportional to 21.13 and 49.81 is: 117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.13 : 49.81 = 49.81 : x
  2. Step 2: Convert to fraction form
    21.13/49.81 = 49.81/x
  3. Step 3: Cross multiply
    21.13x = 49.81 × 49.81
  4. Step 4: Simplify right side
    21.13x = 2,481.29
  5. Step 5: Solve for x
    x = 2,481.29/21.13
  6. Step 6: Final answer
    x = 117.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.