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Finding the Third Proportional to 18,541.13 and 39,997.13

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Solution

The third proportional to 18,541.13 and 39,997.13 is: 86,282.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,541.13 : 39,997.13 = 39,997.13 : x
  2. Step 2: Convert to fraction form
    18,541.13/39,997.13 = 39,997.13/x
  3. Step 3: Cross multiply
    18,541.13x = 39,997.13 × 39,997.13
  4. Step 4: Simplify right side
    18,541.13x = 1,599,770,008.27
  5. Step 5: Solve for x
    x = 1,599,770,008.27/18,541.13
  6. Step 6: Final answer
    x = 86,282.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.