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Finding the Third Proportional to 16,744 and 39,610

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Solution

The third proportional to 16,744 and 39,610 is: 93,702.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,744 : 39,610 = 39,610 : x
  2. Step 2: Convert to fraction form
    16,744/39,610 = 39,610/x
  3. Step 3: Cross multiply
    16,744x = 39,610 × 39,610
  4. Step 4: Simplify right side
    16,744x = 1,568,952,100
  5. Step 5: Solve for x
    x = 1,568,952,100/16,744
  6. Step 6: Final answer
    x = 93,702.35

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.