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Finding the Third Proportional to 22.98 and 50.36

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Solution

The third proportional to 22.98 and 50.36 is: 110.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.98 : 50.36 = 50.36 : x
  2. Step 2: Convert to fraction form
    22.98/50.36 = 50.36/x
  3. Step 3: Cross multiply
    22.98x = 50.36 × 50.36
  4. Step 4: Simplify right side
    22.98x = 2,536.07
  5. Step 5: Solve for x
    x = 2,536.07/22.98
  6. Step 6: Final answer
    x = 110.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.