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Finding the Third Proportional to 6,900.19 and 9,237.80

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Solution

The third proportional to 6,900.19 and 9,237.80 is: 12,367.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.19 : 9,237.80 = 9,237.80 : x
  2. Step 2: Convert to fraction form
    6,900.19/9,237.80 = 9,237.80/x
  3. Step 3: Cross multiply
    6,900.19x = 9,237.80 × 9,237.80
  4. Step 4: Simplify right side
    6,900.19x = 85,336,891.10
  5. Step 5: Solve for x
    x = 85,336,891.10/6,900.19
  6. Step 6: Final answer
    x = 12,367.33

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.