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Finding the Third Proportional to 3,790.81 and 8,225.88

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Solution

The third proportional to 3,790.81 and 8,225.88 is: 17,849.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.81 : 8,225.88 = 8,225.88 : x
  2. Step 2: Convert to fraction form
    3,790.81/8,225.88 = 8,225.88/x
  3. Step 3: Cross multiply
    3,790.81x = 8,225.88 × 8,225.88
  4. Step 4: Simplify right side
    3,790.81x = 67,665,051.65
  5. Step 5: Solve for x
    x = 67,665,051.65/3,790.81
  6. Step 6: Final answer
    x = 17,849.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.