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Finding the Third Proportional to 22.96 and 48.59

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Solution

The third proportional to 22.96 and 48.59 is: 102.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.96 : 48.59 = 48.59 : x
  2. Step 2: Convert to fraction form
    22.96/48.59 = 48.59/x
  3. Step 3: Cross multiply
    22.96x = 48.59 × 48.59
  4. Step 4: Simplify right side
    22.96x = 2,360.81
  5. Step 5: Solve for x
    x = 2,360.81/22.96
  6. Step 6: Final answer
    x = 102.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.