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Finding the Third Proportional to 8,350 and 17,509

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Solution

The third proportional to 8,350 and 17,509 is: 36,714.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,350 : 17,509 = 17,509 : x
  2. Step 2: Convert to fraction form
    8,350/17,509 = 17,509/x
  3. Step 3: Cross multiply
    8,350x = 17,509 × 17,509
  4. Step 4: Simplify right side
    8,350x = 306,565,081
  5. Step 5: Solve for x
    x = 306,565,081/8,350
  6. Step 6: Final answer
    x = 36,714.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.