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Finding the Third Proportional to 10,785.66 and 16,660.69

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Solution

The third proportional to 10,785.66 and 16,660.69 is: 25,735.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,785.66 : 16,660.69 = 16,660.69 : x
  2. Step 2: Convert to fraction form
    10,785.66/16,660.69 = 16,660.69/x
  3. Step 3: Cross multiply
    10,785.66x = 16,660.69 × 16,660.69
  4. Step 4: Simplify right side
    10,785.66x = 277,578,507.97
  5. Step 5: Solve for x
    x = 277,578,507.97/10,785.66
  6. Step 6: Final answer
    x = 25,735.89

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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.