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Finding the Third Proportional to 6,687.98 and 10,370.11

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Solution

The third proportional to 6,687.98 and 10,370.11 is: 16,079.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.98 : 10,370.11 = 10,370.11 : x
  2. Step 2: Convert to fraction form
    6,687.98/10,370.11 = 10,370.11/x
  3. Step 3: Cross multiply
    6,687.98x = 10,370.11 × 10,370.11
  4. Step 4: Simplify right side
    6,687.98x = 107,539,168.45
  5. Step 5: Solve for x
    x = 107,539,168.45/6,687.98
  6. Step 6: Final answer
    x = 16,079.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.