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Finding the Third Proportional to 16,718 and 35,612

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Solution

The third proportional to 16,718 and 35,612 is: 75,859.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,718 : 35,612 = 35,612 : x
  2. Step 2: Convert to fraction form
    16,718/35,612 = 35,612/x
  3. Step 3: Cross multiply
    16,718x = 35,612 × 35,612
  4. Step 4: Simplify right side
    16,718x = 1,268,214,544
  5. Step 5: Solve for x
    x = 1,268,214,544/16,718
  6. Step 6: Final answer
    x = 75,859.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.