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Finding the Third Proportional to 32,649 and 73,286

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Solution

The third proportional to 32,649 and 73,286 is: 164,502.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,649 : 73,286 = 73,286 : x
  2. Step 2: Convert to fraction form
    32,649/73,286 = 73,286/x
  3. Step 3: Cross multiply
    32,649x = 73,286 × 73,286
  4. Step 4: Simplify right side
    32,649x = 5,370,837,796
  5. Step 5: Solve for x
    x = 5,370,837,796/32,649
  6. Step 6: Final answer
    x = 164,502.37

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.