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Finding the Third Proportional to 6,838.03 and 10,813.92

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Solution

The third proportional to 6,838.03 and 10,813.92 is: 17,101.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.03 : 10,813.92 = 10,813.92 : x
  2. Step 2: Convert to fraction form
    6,838.03/10,813.92 = 10,813.92/x
  3. Step 3: Cross multiply
    6,838.03x = 10,813.92 × 10,813.92
  4. Step 4: Simplify right side
    6,838.03x = 116,940,906.32
  5. Step 5: Solve for x
    x = 116,940,906.32/6,838.03
  6. Step 6: Final answer
    x = 17,101.55

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.