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Finding the Third Proportional to 22,848.75 and 48,198.38

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Solution

The third proportional to 22,848.75 and 48,198.38 is: 101,672.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,848.75 : 48,198.38 = 48,198.38 : x
  2. Step 2: Convert to fraction form
    22,848.75/48,198.38 = 48,198.38/x
  3. Step 3: Cross multiply
    22,848.75x = 48,198.38 × 48,198.38
  4. Step 4: Simplify right side
    22,848.75x = 2,323,083,352.64
  5. Step 5: Solve for x
    x = 2,323,083,352.64/22,848.75
  6. Step 6: Final answer
    x = 101,672.23

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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.