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Finding the Third Proportional to 6,686.30 and 10,393.95

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Solution

The third proportional to 6,686.30 and 10,393.95 is: 16,157.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.30 : 10,393.95 = 10,393.95 : x
  2. Step 2: Convert to fraction form
    6,686.30/10,393.95 = 10,393.95/x
  3. Step 3: Cross multiply
    6,686.30x = 10,393.95 × 10,393.95
  4. Step 4: Simplify right side
    6,686.30x = 108,034,099.16
  5. Step 5: Solve for x
    x = 108,034,099.16/6,686.30
  6. Step 6: Final answer
    x = 16,157.54

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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.