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Finding the Third Proportional to 16,822.69 and 22,864.78

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Solution

The third proportional to 16,822.69 and 22,864.78 is: 31,076.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,822.69 : 22,864.78 = 22,864.78 : x
  2. Step 2: Convert to fraction form
    16,822.69/22,864.78 = 22,864.78/x
  3. Step 3: Cross multiply
    16,822.69x = 22,864.78 × 22,864.78
  4. Step 4: Simplify right side
    16,822.69x = 522,798,221.61
  5. Step 5: Solve for x
    x = 522,798,221.61/16,822.69
  6. Step 6: Final answer
    x = 31,076.97

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.