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Finding the Third Proportional to 33,408 and 69,572

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Solution

The third proportional to 33,408 and 69,572 is: 144,883.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,408 : 69,572 = 69,572 : x
  2. Step 2: Convert to fraction form
    33,408/69,572 = 69,572/x
  3. Step 3: Cross multiply
    33,408x = 69,572 × 69,572
  4. Step 4: Simplify right side
    33,408x = 4,840,263,184
  5. Step 5: Solve for x
    x = 4,840,263,184/33,408
  6. Step 6: Final answer
    x = 144,883.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.