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Finding the Third Proportional to 22.83 and 45.66

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Solution

The third proportional to 22.83 and 45.66 is: 91.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.83 : 45.66 = 45.66 : x
  2. Step 2: Convert to fraction form
    22.83/45.66 = 45.66/x
  3. Step 3: Cross multiply
    22.83x = 45.66 × 45.66
  4. Step 4: Simplify right side
    22.83x = 2,084.63
  5. Step 5: Solve for x
    x = 2,084.63/22.83
  6. Step 6: Final answer
    x = 91.32

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.