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Finding the Third Proportional to 32,375 and 66,997

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Solution

The third proportional to 32,375 and 66,997 is: 138,643.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,375 : 66,997 = 66,997 : x
  2. Step 2: Convert to fraction form
    32,375/66,997 = 66,997/x
  3. Step 3: Cross multiply
    32,375x = 66,997 × 66,997
  4. Step 4: Simplify right side
    32,375x = 4,488,598,009
  5. Step 5: Solve for x
    x = 4,488,598,009/32,375
  6. Step 6: Final answer
    x = 138,643.95

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.