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Finding the Third Proportional to 18,523.69 and 38,809.13

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Solution

The third proportional to 18,523.69 and 38,809.13 is: 81,309.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,523.69 : 38,809.13 = 38,809.13 : x
  2. Step 2: Convert to fraction form
    18,523.69/38,809.13 = 38,809.13/x
  3. Step 3: Cross multiply
    18,523.69x = 38,809.13 × 38,809.13
  4. Step 4: Simplify right side
    18,523.69x = 1,506,148,183.27
  5. Step 5: Solve for x
    x = 1,506,148,183.27/18,523.69
  6. Step 6: Final answer
    x = 81,309.31

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.