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Finding the Third Proportional to 6,922.13 and 10,105.88

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Solution

The third proportional to 6,922.13 and 10,105.88 is: 14,753.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,922.13 : 10,105.88 = 10,105.88 : x
  2. Step 2: Convert to fraction form
    6,922.13/10,105.88 = 10,105.88/x
  3. Step 3: Cross multiply
    6,922.13x = 10,105.88 × 10,105.88
  4. Step 4: Simplify right side
    6,922.13x = 102,128,709.52
  5. Step 5: Solve for x
    x = 102,128,709.52/6,922.13
  6. Step 6: Final answer
    x = 14,753.95

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.