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Finding the Third Proportional to 27,018.50 and 40,419.75

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Solution

The third proportional to 27,018.50 and 40,419.75 is: 60,468.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,018.50 : 40,419.75 = 40,419.75 : x
  2. Step 2: Convert to fraction form
    27,018.50/40,419.75 = 40,419.75/x
  3. Step 3: Cross multiply
    27,018.50x = 40,419.75 × 40,419.75
  4. Step 4: Simplify right side
    27,018.50x = 1,633,756,190.06
  5. Step 5: Solve for x
    x = 1,633,756,190.06/27,018.50
  6. Step 6: Final answer
    x = 60,468.06

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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.