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Finding the Third Proportional to 8,200.88 and 17,697.75

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Solution

The third proportional to 8,200.88 and 17,697.75 is: 38,192.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.88 : 17,697.75 = 17,697.75 : x
  2. Step 2: Convert to fraction form
    8,200.88/17,697.75 = 17,697.75/x
  3. Step 3: Cross multiply
    8,200.88x = 17,697.75 × 17,697.75
  4. Step 4: Simplify right side
    8,200.88x = 313,210,355.06
  5. Step 5: Solve for x
    x = 313,210,355.06/8,200.88
  6. Step 6: Final answer
    x = 38,192.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.