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Finding the Third Proportional to 18,339.75 and 34,722

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Solution

The third proportional to 18,339.75 and 34,722 is: 65,737.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,339.75 : 34,722 = 34,722 : x
  2. Step 2: Convert to fraction form
    18,339.75/34,722 = 34,722/x
  3. Step 3: Cross multiply
    18,339.75x = 34,722 × 34,722
  4. Step 4: Simplify right side
    18,339.75x = 1,205,617,284
  5. Step 5: Solve for x
    x = 1,205,617,284/18,339.75
  6. Step 6: Final answer
    x = 65,737.93

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.