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Finding the Third Proportional to 27,754.50 and 42,327

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Solution

The third proportional to 27,754.50 and 42,327 is: 64,550.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,754.50 : 42,327 = 42,327 : x
  2. Step 2: Convert to fraction form
    27,754.50/42,327 = 42,327/x
  3. Step 3: Cross multiply
    27,754.50x = 42,327 × 42,327
  4. Step 4: Simplify right side
    27,754.50x = 1,791,574,929
  5. Step 5: Solve for x
    x = 1,791,574,929/27,754.50
  6. Step 6: Final answer
    x = 64,550.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.