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Finding the Third Proportional to 8,180.30 and 17,809.08

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Solution

The third proportional to 8,180.30 and 17,809.08 is: 38,771.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180.30 : 17,809.08 = 17,809.08 : x
  2. Step 2: Convert to fraction form
    8,180.30/17,809.08 = 17,809.08/x
  3. Step 3: Cross multiply
    8,180.30x = 17,809.08 × 17,809.08
  4. Step 4: Simplify right side
    8,180.30x = 317,163,263.66
  5. Step 5: Solve for x
    x = 317,163,263.66/8,180.30
  6. Step 6: Final answer
    x = 38,771.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.