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Finding the Third Proportional to 10,003.78 and 21,433.92

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Solution

The third proportional to 10,003.78 and 21,433.92 is: 45,923.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.78 : 21,433.92 = 21,433.92 : x
  2. Step 2: Convert to fraction form
    10,003.78/21,433.92 = 21,433.92/x
  3. Step 3: Cross multiply
    10,003.78x = 21,433.92 × 21,433.92
  4. Step 4: Simplify right side
    10,003.78x = 459,413,006.94
  5. Step 5: Solve for x
    x = 459,413,006.94/10,003.78
  6. Step 6: Final answer
    x = 45,923.94

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.