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Finding the Third Proportional to 6,912.84 and 14,851.27

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Solution

The third proportional to 6,912.84 and 14,851.27 is: 31,905.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.84 : 14,851.27 = 14,851.27 : x
  2. Step 2: Convert to fraction form
    6,912.84/14,851.27 = 14,851.27/x
  3. Step 3: Cross multiply
    6,912.84x = 14,851.27 × 14,851.27
  4. Step 4: Simplify right side
    6,912.84x = 220,560,090.66
  5. Step 5: Solve for x
    x = 220,560,090.66/6,912.84
  6. Step 6: Final answer
    x = 31,905.84

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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.