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Finding the Third Proportional to 17,669 and 38,659

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Solution

The third proportional to 17,669 and 38,659 is: 84,584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,669 : 38,659 = 38,659 : x
  2. Step 2: Convert to fraction form
    17,669/38,659 = 38,659/x
  3. Step 3: Cross multiply
    17,669x = 38,659 × 38,659
  4. Step 4: Simplify right side
    17,669x = 1,494,518,281
  5. Step 5: Solve for x
    x = 1,494,518,281/17,669
  6. Step 6: Final answer
    x = 84,584.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.