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Finding the Third Proportional to 16,822.69 and 24,322.78

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Solution

The third proportional to 16,822.69 and 24,322.78 is: 35,166.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,822.69 : 24,322.78 = 24,322.78 : x
  2. Step 2: Convert to fraction form
    16,822.69/24,322.78 = 24,322.78/x
  3. Step 3: Cross multiply
    16,822.69x = 24,322.78 × 24,322.78
  4. Step 4: Simplify right side
    16,822.69x = 591,597,687.74
  5. Step 5: Solve for x
    x = 591,597,687.74/16,822.69
  6. Step 6: Final answer
    x = 35,166.66

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.