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Finding the Third Proportional to 15,812 and 33,077

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Solution

The third proportional to 15,812 and 33,077 is: 69,193.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,812 : 33,077 = 33,077 : x
  2. Step 2: Convert to fraction form
    15,812/33,077 = 33,077/x
  3. Step 3: Cross multiply
    15,812x = 33,077 × 33,077
  4. Step 4: Simplify right side
    15,812x = 1,094,087,929
  5. Step 5: Solve for x
    x = 1,094,087,929/15,812
  6. Step 6: Final answer
    x = 69,193.52

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.