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Finding the Third Proportional to 18,022.50 and 38,809.13

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Solution

The third proportional to 18,022.50 and 38,809.13 is: 83,570.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,022.50 : 38,809.13 = 38,809.13 : x
  2. Step 2: Convert to fraction form
    18,022.50/38,809.13 = 38,809.13/x
  3. Step 3: Cross multiply
    18,022.50x = 38,809.13 × 38,809.13
  4. Step 4: Simplify right side
    18,022.50x = 1,506,148,183.27
  5. Step 5: Solve for x
    x = 1,506,148,183.27/18,022.50
  6. Step 6: Final answer
    x = 83,570.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.