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Finding the Third Proportional to 18,952.10 and 41,266.34

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Solution

The third proportional to 18,952.10 and 41,266.34 is: 89,853.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,952.10 : 41,266.34 = 41,266.34 : x
  2. Step 2: Convert to fraction form
    18,952.10/41,266.34 = 41,266.34/x
  3. Step 3: Cross multiply
    18,952.10x = 41,266.34 × 41,266.34
  4. Step 4: Simplify right side
    18,952.10x = 1,702,910,481.71
  5. Step 5: Solve for x
    x = 1,702,910,481.71/18,952.10
  6. Step 6: Final answer
    x = 89,853.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.