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Finding the Third Proportional to 27,519.75 and 42,441.47

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Solution

The third proportional to 27,519.75 and 42,441.47 is: 65,454.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,519.75 : 42,441.47 = 42,441.47 : x
  2. Step 2: Convert to fraction form
    27,519.75/42,441.47 = 42,441.47/x
  3. Step 3: Cross multiply
    27,519.75x = 42,441.47 × 42,441.47
  4. Step 4: Simplify right side
    27,519.75x = 1,801,278,269.66
  5. Step 5: Solve for x
    x = 1,801,278,269.66/27,519.75
  6. Step 6: Final answer
    x = 65,454.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.