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Finding the Third Proportional to 18,523.69 and 39,943.13

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Solution

The third proportional to 18,523.69 and 39,943.13 is: 86,130.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,523.69 : 39,943.13 = 39,943.13 : x
  2. Step 2: Convert to fraction form
    18,523.69/39,943.13 = 39,943.13/x
  3. Step 3: Cross multiply
    18,523.69x = 39,943.13 × 39,943.13
  4. Step 4: Simplify right side
    18,523.69x = 1,595,453,234.77
  5. Step 5: Solve for x
    x = 1,595,453,234.77/18,523.69
  6. Step 6: Final answer
    x = 86,130.43

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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.