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Finding the Third Proportional to 18,713.67 and 41,579.86

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Solution

The third proportional to 18,713.67 and 41,579.86 is: 92,386.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,713.67 : 41,579.86 = 41,579.86 : x
  2. Step 2: Convert to fraction form
    18,713.67/41,579.86 = 41,579.86/x
  3. Step 3: Cross multiply
    18,713.67x = 41,579.86 × 41,579.86
  4. Step 4: Simplify right side
    18,713.67x = 1,728,884,705.64
  5. Step 5: Solve for x
    x = 1,728,884,705.64/18,713.67
  6. Step 6: Final answer
    x = 92,386.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.