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Finding the Third Proportional to 3,785.06 and 5,124.09

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Solution

The third proportional to 3,785.06 and 5,124.09 is: 6,936.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.06 : 5,124.09 = 5,124.09 : x
  2. Step 2: Convert to fraction form
    3,785.06/5,124.09 = 5,124.09/x
  3. Step 3: Cross multiply
    3,785.06x = 5,124.09 × 5,124.09
  4. Step 4: Simplify right side
    3,785.06x = 26,256,336.76
  5. Step 5: Solve for x
    x = 26,256,336.76/3,785.06
  6. Step 6: Final answer
    x = 6,936.83

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.