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Finding the Third Proportional to 32,441 and 69,883

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Solution

The third proportional to 32,441 and 69,883 is: 150,538.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,441 : 69,883 = 69,883 : x
  2. Step 2: Convert to fraction form
    32,441/69,883 = 69,883/x
  3. Step 3: Cross multiply
    32,441x = 69,883 × 69,883
  4. Step 4: Simplify right side
    32,441x = 4,883,633,689
  5. Step 5: Solve for x
    x = 4,883,633,689/32,441
  6. Step 6: Final answer
    x = 150,538.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.