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Finding the Third Proportional to 22.22 and 45.98

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Solution

The third proportional to 22.22 and 45.98 is: 95.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.22 : 45.98 = 45.98 : x
  2. Step 2: Convert to fraction form
    22.22/45.98 = 45.98/x
  3. Step 3: Cross multiply
    22.22x = 45.98 × 45.98
  4. Step 4: Simplify right side
    22.22x = 2,114.56
  5. Step 5: Solve for x
    x = 2,114.56/22.22
  6. Step 6: Final answer
    x = 95.17

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.