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Finding the Third Proportional to 27,380.25 and 41,582.25

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Solution

The third proportional to 27,380.25 and 41,582.25 is: 63,150.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,380.25 : 41,582.25 = 41,582.25 : x
  2. Step 2: Convert to fraction form
    27,380.25/41,582.25 = 41,582.25/x
  3. Step 3: Cross multiply
    27,380.25x = 41,582.25 × 41,582.25
  4. Step 4: Simplify right side
    27,380.25x = 1,729,083,515.06
  5. Step 5: Solve for x
    x = 1,729,083,515.06/27,380.25
  6. Step 6: Final answer
    x = 63,150.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.