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Finding the Third Proportional to 8,320.50 and 18,181.69

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Solution

The third proportional to 8,320.50 and 18,181.69 is: 39,730.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,320.50 : 18,181.69 = 18,181.69 : x
  2. Step 2: Convert to fraction form
    8,320.50/18,181.69 = 18,181.69/x
  3. Step 3: Cross multiply
    8,320.50x = 18,181.69 × 18,181.69
  4. Step 4: Simplify right side
    8,320.50x = 330,573,760.35
  5. Step 5: Solve for x
    x = 330,573,760.35/8,320.50
  6. Step 6: Final answer
    x = 39,730.04

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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.