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Finding the Third Proportional to 15,612 and 33,692

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Solution

The third proportional to 15,612 and 33,692 is: 72,710.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,612 : 33,692 = 33,692 : x
  2. Step 2: Convert to fraction form
    15,612/33,692 = 33,692/x
  3. Step 3: Cross multiply
    15,612x = 33,692 × 33,692
  4. Step 4: Simplify right side
    15,612x = 1,135,150,864
  5. Step 5: Solve for x
    x = 1,135,150,864/15,612
  6. Step 6: Final answer
    x = 72,710.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.