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Finding the Third Proportional to 22.18 and 52.07

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Solution

The third proportional to 22.18 and 52.07 is: 122.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.18 : 52.07 = 52.07 : x
  2. Step 2: Convert to fraction form
    22.18/52.07 = 52.07/x
  3. Step 3: Cross multiply
    22.18x = 52.07 × 52.07
  4. Step 4: Simplify right side
    22.18x = 2,710.84
  5. Step 5: Solve for x
    x = 2,710.84/22.18
  6. Step 6: Final answer
    x = 122.24

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.