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Finding the Third Proportional to 32,399 and 69,719

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Solution

The third proportional to 32,399 and 69,719 is: 150,027.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,399 : 69,719 = 69,719 : x
  2. Step 2: Convert to fraction form
    32,399/69,719 = 69,719/x
  3. Step 3: Cross multiply
    32,399x = 69,719 × 69,719
  4. Step 4: Simplify right side
    32,399x = 4,860,738,961
  5. Step 5: Solve for x
    x = 4,860,738,961/32,399
  6. Step 6: Final answer
    x = 150,027.44

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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.