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Finding the Third Proportional to 28,218 and 60,327

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Solution

The third proportional to 28,218 and 60,327 is: 128,972.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,218 : 60,327 = 60,327 : x
  2. Step 2: Convert to fraction form
    28,218/60,327 = 60,327/x
  3. Step 3: Cross multiply
    28,218x = 60,327 × 60,327
  4. Step 4: Simplify right side
    28,218x = 3,639,346,929
  5. Step 5: Solve for x
    x = 3,639,346,929/28,218
  6. Step 6: Final answer
    x = 128,972.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.