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Finding the Third Proportional to 32,515 and 69,881

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Solution

The third proportional to 32,515 and 69,881 is: 150,187.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,515 : 69,881 = 69,881 : x
  2. Step 2: Convert to fraction form
    32,515/69,881 = 69,881/x
  3. Step 3: Cross multiply
    32,515x = 69,881 × 69,881
  4. Step 4: Simplify right side
    32,515x = 4,883,354,161
  5. Step 5: Solve for x
    x = 4,883,354,161/32,515
  6. Step 6: Final answer
    x = 150,187.73

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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.