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Finding the Third Proportional to 32,901 and 75,327

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Solution

The third proportional to 32,901 and 75,327 is: 172,461.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,901 : 75,327 = 75,327 : x
  2. Step 2: Convert to fraction form
    32,901/75,327 = 75,327/x
  3. Step 3: Cross multiply
    32,901x = 75,327 × 75,327
  4. Step 4: Simplify right side
    32,901x = 5,674,156,929
  5. Step 5: Solve for x
    x = 5,674,156,929/32,901
  6. Step 6: Final answer
    x = 172,461.53

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.