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Finding the Third Proportional to 33,437 and 72,868

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Solution

The third proportional to 33,437 and 72,868 is: 158,798.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,437 : 72,868 = 72,868 : x
  2. Step 2: Convert to fraction form
    33,437/72,868 = 72,868/x
  3. Step 3: Cross multiply
    33,437x = 72,868 × 72,868
  4. Step 4: Simplify right side
    33,437x = 5,309,745,424
  5. Step 5: Solve for x
    x = 5,309,745,424/33,437
  6. Step 6: Final answer
    x = 158,798.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.