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Finding the Third Proportional to 43,952 and 69,881

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Solution

The third proportional to 43,952 and 69,881 is: 111,106.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,952 : 69,881 = 69,881 : x
  2. Step 2: Convert to fraction form
    43,952/69,881 = 69,881/x
  3. Step 3: Cross multiply
    43,952x = 69,881 × 69,881
  4. Step 4: Simplify right side
    43,952x = 4,883,354,161
  5. Step 5: Solve for x
    x = 4,883,354,161/43,952
  6. Step 6: Final answer
    x = 111,106.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.