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Finding the Third Proportional to 27,409 and 41,003

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Solution

The third proportional to 27,409 and 41,003 is: 61,339.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409 : 41,003 = 41,003 : x
  2. Step 2: Convert to fraction form
    27,409/41,003 = 41,003/x
  3. Step 3: Cross multiply
    27,409x = 41,003 × 41,003
  4. Step 4: Simplify right side
    27,409x = 1,681,246,009
  5. Step 5: Solve for x
    x = 1,681,246,009/27,409
  6. Step 6: Final answer
    x = 61,339.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.