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Finding the Third Proportional to 6,847.75 and 9,785.63

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Solution

The third proportional to 6,847.75 and 9,785.63 is: 13,983.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.75 : 9,785.63 = 9,785.63 : x
  2. Step 2: Convert to fraction form
    6,847.75/9,785.63 = 9,785.63/x
  3. Step 3: Cross multiply
    6,847.75x = 9,785.63 × 9,785.63
  4. Step 4: Simplify right side
    6,847.75x = 95,758,456.64
  5. Step 5: Solve for x
    x = 95,758,456.64/6,847.75
  6. Step 6: Final answer
    x = 13,983.93

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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.