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Finding the Third Proportional to 32,998 and 69,912

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Solution

The third proportional to 32,998 and 69,912 is: 148,120.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,998 : 69,912 = 69,912 : x
  2. Step 2: Convert to fraction form
    32,998/69,912 = 69,912/x
  3. Step 3: Cross multiply
    32,998x = 69,912 × 69,912
  4. Step 4: Simplify right side
    32,998x = 4,887,687,744
  5. Step 5: Solve for x
    x = 4,887,687,744/32,998
  6. Step 6: Final answer
    x = 148,120.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.