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Finding the Third Proportional to 22,396.50 and 48,745.13

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Solution

The third proportional to 22,396.50 and 48,745.13 is: 106,091.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,396.50 : 48,745.13 = 48,745.13 : x
  2. Step 2: Convert to fraction form
    22,396.50/48,745.13 = 48,745.13/x
  3. Step 3: Cross multiply
    22,396.50x = 48,745.13 × 48,745.13
  4. Step 4: Simplify right side
    22,396.50x = 2,376,087,211.27
  5. Step 5: Solve for x
    x = 2,376,087,211.27/22,396.50
  6. Step 6: Final answer
    x = 106,091.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.