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Finding the Third Proportional to 10,243.97 and 22,404.09

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Solution

The third proportional to 10,243.97 and 22,404.09 is: 48,998.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.97 : 22,404.09 = 22,404.09 : x
  2. Step 2: Convert to fraction form
    10,243.97/22,404.09 = 22,404.09/x
  3. Step 3: Cross multiply
    10,243.97x = 22,404.09 × 22,404.09
  4. Step 4: Simplify right side
    10,243.97x = 501,943,416.76
  5. Step 5: Solve for x
    x = 501,943,416.76/10,243.97
  6. Step 6: Final answer
    x = 48,998.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.