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Finding the Third Proportional to 7,008.38 and 10,822.31

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Solution

The third proportional to 7,008.38 and 10,822.31 is: 16,711.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008.38 : 10,822.31 = 10,822.31 : x
  2. Step 2: Convert to fraction form
    7,008.38/10,822.31 = 10,822.31/x
  3. Step 3: Cross multiply
    7,008.38x = 10,822.31 × 10,822.31
  4. Step 4: Simplify right side
    7,008.38x = 117,122,447.85
  5. Step 5: Solve for x
    x = 117,122,447.85/7,008.38
  6. Step 6: Final answer
    x = 16,711.78

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.