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Finding the Third Proportional to 18,972.98 and 41,226.47

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Solution

The third proportional to 18,972.98 and 41,226.47 is: 89,581.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,972.98 : 41,226.47 = 41,226.47 : x
  2. Step 2: Convert to fraction form
    18,972.98/41,226.47 = 41,226.47/x
  3. Step 3: Cross multiply
    18,972.98x = 41,226.47 × 41,226.47
  4. Step 4: Simplify right side
    18,972.98x = 1,699,621,725.59
  5. Step 5: Solve for x
    x = 1,699,621,725.59/18,972.98
  6. Step 6: Final answer
    x = 89,581.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.