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Finding the Third Proportional to 16,702 and 25,011

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Solution

The third proportional to 16,702 and 25,011 is: 37,453.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,702 : 25,011 = 25,011 : x
  2. Step 2: Convert to fraction form
    16,702/25,011 = 25,011/x
  3. Step 3: Cross multiply
    16,702x = 25,011 × 25,011
  4. Step 4: Simplify right side
    16,702x = 625,550,121
  5. Step 5: Solve for x
    x = 625,550,121/16,702
  6. Step 6: Final answer
    x = 37,453.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.