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Finding the Third Proportional to 8,420 and 17,713

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Solution

The third proportional to 8,420 and 17,713 is: 37,262.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420 : 17,713 = 17,713 : x
  2. Step 2: Convert to fraction form
    8,420/17,713 = 17,713/x
  3. Step 3: Cross multiply
    8,420x = 17,713 × 17,713
  4. Step 4: Simplify right side
    8,420x = 313,750,369
  5. Step 5: Solve for x
    x = 313,750,369/8,420
  6. Step 6: Final answer
    x = 37,262.51

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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.