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Finding the Third Proportional to 11,350.76 and 16,213.92

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Solution

The third proportional to 11,350.76 and 16,213.92 is: 23,160.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,350.76 : 16,213.92 = 16,213.92 : x
  2. Step 2: Convert to fraction form
    11,350.76/16,213.92 = 16,213.92/x
  3. Step 3: Cross multiply
    11,350.76x = 16,213.92 × 16,213.92
  4. Step 4: Simplify right side
    11,350.76x = 262,891,262.57
  5. Step 5: Solve for x
    x = 262,891,262.57/11,350.76
  6. Step 6: Final answer
    x = 23,160.68

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.