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Finding the Third Proportional to 10,443.94 and 22,968.56

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Solution

The third proportional to 10,443.94 and 22,968.56 is: 50,513.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.94 : 22,968.56 = 22,968.56 : x
  2. Step 2: Convert to fraction form
    10,443.94/22,968.56 = 22,968.56/x
  3. Step 3: Cross multiply
    10,443.94x = 22,968.56 × 22,968.56
  4. Step 4: Simplify right side
    10,443.94x = 527,554,863.32
  5. Step 5: Solve for x
    x = 527,554,863.32/10,443.94
  6. Step 6: Final answer
    x = 50,513.02

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.