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Finding the Third Proportional to 6,847.38 and 9,785.06

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Solution

The third proportional to 6,847.38 and 9,785.06 is: 13,983.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.38 : 9,785.06 = 9,785.06 : x
  2. Step 2: Convert to fraction form
    6,847.38/9,785.06 = 9,785.06/x
  3. Step 3: Cross multiply
    6,847.38x = 9,785.06 × 9,785.06
  4. Step 4: Simplify right side
    6,847.38x = 95,747,448.13
  5. Step 5: Solve for x
    x = 95,747,448.13/6,847.38
  6. Step 6: Final answer
    x = 13,983.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.