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Finding the Third Proportional to 8,578.41 and 18,607.22

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Solution

The third proportional to 8,578.41 and 18,607.22 is: 40,360.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.41 : 18,607.22 = 18,607.22 : x
  2. Step 2: Convert to fraction form
    8,578.41/18,607.22 = 18,607.22/x
  3. Step 3: Cross multiply
    8,578.41x = 18,607.22 × 18,607.22
  4. Step 4: Simplify right side
    8,578.41x = 346,228,589.61
  5. Step 5: Solve for x
    x = 346,228,589.61/8,578.41
  6. Step 6: Final answer
    x = 40,360.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.