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Finding the Third Proportional to 22,059 and 34,183.13

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Solution

The third proportional to 22,059 and 34,183.13 is: 52,970.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,059 : 34,183.13 = 34,183.13 : x
  2. Step 2: Convert to fraction form
    22,059/34,183.13 = 34,183.13/x
  3. Step 3: Cross multiply
    22,059x = 34,183.13 × 34,183.13
  4. Step 4: Simplify right side
    22,059x = 1,168,486,034.77
  5. Step 5: Solve for x
    x = 1,168,486,034.77/22,059
  6. Step 6: Final answer
    x = 52,970.94

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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.