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Finding the Third Proportional to 6,871.08 and 10,717.31

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Solution

The third proportional to 6,871.08 and 10,717.31 is: 16,716.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.08 : 10,717.31 = 10,717.31 : x
  2. Step 2: Convert to fraction form
    6,871.08/10,717.31 = 10,717.31/x
  3. Step 3: Cross multiply
    6,871.08x = 10,717.31 × 10,717.31
  4. Step 4: Simplify right side
    6,871.08x = 114,860,787.22
  5. Step 5: Solve for x
    x = 114,860,787.22/6,871.08
  6. Step 6: Final answer
    x = 16,716.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.