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Finding the Third Proportional to 32,485 and 69,983

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Solution

The third proportional to 32,485 and 69,983 is: 150,765.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,485 : 69,983 = 69,983 : x
  2. Step 2: Convert to fraction form
    32,485/69,983 = 69,983/x
  3. Step 3: Cross multiply
    32,485x = 69,983 × 69,983
  4. Step 4: Simplify right side
    32,485x = 4,897,620,289
  5. Step 5: Solve for x
    x = 4,897,620,289/32,485
  6. Step 6: Final answer
    x = 150,765.59

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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.