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Finding the Third Proportional to 22,048 and 34,149.50

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Solution

The third proportional to 22,048 and 34,149.50 is: 52,893.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,048 : 34,149.50 = 34,149.50 : x
  2. Step 2: Convert to fraction form
    22,048/34,149.50 = 34,149.50/x
  3. Step 3: Cross multiply
    22,048x = 34,149.50 × 34,149.50
  4. Step 4: Simplify right side
    22,048x = 1,166,188,350.25
  5. Step 5: Solve for x
    x = 1,166,188,350.25/22,048
  6. Step 6: Final answer
    x = 52,893.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.