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Finding the Third Proportional to 16,612 and 35,720

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Solution

The third proportional to 16,612 and 35,720 is: 76,807.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,612 : 35,720 = 35,720 : x
  2. Step 2: Convert to fraction form
    16,612/35,720 = 35,720/x
  3. Step 3: Cross multiply
    16,612x = 35,720 × 35,720
  4. Step 4: Simplify right side
    16,612x = 1,275,918,400
  5. Step 5: Solve for x
    x = 1,275,918,400/16,612
  6. Step 6: Final answer
    x = 76,807.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.