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Finding the Third Proportional to 8,225.93 and 17,621.30

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Solution

The third proportional to 8,225.93 and 17,621.30 is: 37,747.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225.93 : 17,621.30 = 17,621.30 : x
  2. Step 2: Convert to fraction form
    8,225.93/17,621.30 = 17,621.30/x
  3. Step 3: Cross multiply
    8,225.93x = 17,621.30 × 17,621.30
  4. Step 4: Simplify right side
    8,225.93x = 310,510,103.56
  5. Step 5: Solve for x
    x = 310,510,103.56/8,225.93
  6. Step 6: Final answer
    x = 37,747.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.