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Finding the Third Proportional to 32,464 and 69,924

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Solution

The third proportional to 32,464 and 69,924 is: 150,608.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,464 : 69,924 = 69,924 : x
  2. Step 2: Convert to fraction form
    32,464/69,924 = 69,924/x
  3. Step 3: Cross multiply
    32,464x = 69,924 × 69,924
  4. Step 4: Simplify right side
    32,464x = 4,889,365,776
  5. Step 5: Solve for x
    x = 4,889,365,776/32,464
  6. Step 6: Final answer
    x = 150,608.85

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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.