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Finding the Third Proportional to 6,847.03 and 14,716.69

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Solution

The third proportional to 6,847.03 and 14,716.69 is: 31,631.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.03 : 14,716.69 = 14,716.69 : x
  2. Step 2: Convert to fraction form
    6,847.03/14,716.69 = 14,716.69/x
  3. Step 3: Cross multiply
    6,847.03x = 14,716.69 × 14,716.69
  4. Step 4: Simplify right side
    6,847.03x = 216,580,890.97
  5. Step 5: Solve for x
    x = 216,580,890.97/6,847.03
  6. Step 6: Final answer
    x = 31,631.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.