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Finding the Third Proportional to 19,222.31 and 41,266.13

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Solution

The third proportional to 19,222.31 and 41,266.13 is: 88,589.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,222.31 : 41,266.13 = 41,266.13 : x
  2. Step 2: Convert to fraction form
    19,222.31/41,266.13 = 41,266.13/x
  3. Step 3: Cross multiply
    19,222.31x = 41,266.13 × 41,266.13
  4. Step 4: Simplify right side
    19,222.31x = 1,702,893,072.52
  5. Step 5: Solve for x
    x = 1,702,893,072.52/19,222.31
  6. Step 6: Final answer
    x = 88,589.40

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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.