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Finding the Third Proportional to 22.83 and 46.93

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Solution

The third proportional to 22.83 and 46.93 is: 96.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.83 : 46.93 = 46.93 : x
  2. Step 2: Convert to fraction form
    22.83/46.93 = 46.93/x
  3. Step 3: Cross multiply
    22.83x = 46.93 × 46.93
  4. Step 4: Simplify right side
    22.83x = 2,202.05
  5. Step 5: Solve for x
    x = 2,202.05/22.83
  6. Step 6: Final answer
    x = 96.46

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.