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Finding the Third Proportional to 3,769.22 and 8,237.06

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Solution

The third proportional to 3,769.22 and 8,237.06 is: 18,000.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.22 : 8,237.06 = 8,237.06 : x
  2. Step 2: Convert to fraction form
    3,769.22/8,237.06 = 8,237.06/x
  3. Step 3: Cross multiply
    3,769.22x = 8,237.06 × 8,237.06
  4. Step 4: Simplify right side
    3,769.22x = 67,849,198.63
  5. Step 5: Solve for x
    x = 67,849,198.63/3,769.22
  6. Step 6: Final answer
    x = 18,000.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.