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Finding the Third Proportional to 22.15 and 46.83

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Solution

The third proportional to 22.15 and 46.83 is: 99.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.15 : 46.83 = 46.83 : x
  2. Step 2: Convert to fraction form
    22.15/46.83 = 46.83/x
  3. Step 3: Cross multiply
    22.15x = 46.83 × 46.83
  4. Step 4: Simplify right side
    22.15x = 2,192.87
  5. Step 5: Solve for x
    x = 2,192.87/22.15
  6. Step 6: Final answer
    x = 99.01

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.