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Finding the Third Proportional to 10,639.13 and 22,857.75

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Solution

The third proportional to 10,639.13 and 22,857.75 is: 49,108.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,639.13 : 22,857.75 = 22,857.75 : x
  2. Step 2: Convert to fraction form
    10,639.13/22,857.75 = 22,857.75/x
  3. Step 3: Cross multiply
    10,639.13x = 22,857.75 × 22,857.75
  4. Step 4: Simplify right side
    10,639.13x = 522,476,735.06
  5. Step 5: Solve for x
    x = 522,476,735.06/10,639.13
  6. Step 6: Final answer
    x = 49,108.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.