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Finding the Third Proportional to 10,935.28 and 16,885.97

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Solution

The third proportional to 10,935.28 and 16,885.97 is: 26,074.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,935.28 : 16,885.97 = 16,885.97 : x
  2. Step 2: Convert to fraction form
    10,935.28/16,885.97 = 16,885.97/x
  3. Step 3: Cross multiply
    10,935.28x = 16,885.97 × 16,885.97
  4. Step 4: Simplify right side
    10,935.28x = 285,135,940.63
  5. Step 5: Solve for x
    x = 285,135,940.63/10,935.28
  6. Step 6: Final answer
    x = 26,074.86

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Why These Related Problems?

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