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Finding the Third Proportional to 8,380.13 and 17,253

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Solution

The third proportional to 8,380.13 and 17,253 is: 35,520.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.13 : 17,253 = 17,253 : x
  2. Step 2: Convert to fraction form
    8,380.13/17,253 = 17,253/x
  3. Step 3: Cross multiply
    8,380.13x = 17,253 × 17,253
  4. Step 4: Simplify right side
    8,380.13x = 297,666,009
  5. Step 5: Solve for x
    x = 297,666,009/8,380.13
  6. Step 6: Final answer
    x = 35,520.47

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.