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Finding the Third Proportional to 23,007 and 36,704

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Solution

The third proportional to 23,007 and 36,704 is: 58,555.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,007 : 36,704 = 36,704 : x
  2. Step 2: Convert to fraction form
    23,007/36,704 = 36,704/x
  3. Step 3: Cross multiply
    23,007x = 36,704 × 36,704
  4. Step 4: Simplify right side
    23,007x = 1,347,183,616
  5. Step 5: Solve for x
    x = 1,347,183,616/23,007
  6. Step 6: Final answer
    x = 58,555.38

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.