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Finding the Third Proportional to 17,669 and 38,574

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Solution

The third proportional to 17,669 and 38,574 is: 84,212.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,669 : 38,574 = 38,574 : x
  2. Step 2: Convert to fraction form
    17,669/38,574 = 38,574/x
  3. Step 3: Cross multiply
    17,669x = 38,574 × 38,574
  4. Step 4: Simplify right side
    17,669x = 1,487,953,476
  5. Step 5: Solve for x
    x = 1,487,953,476/17,669
  6. Step 6: Final answer
    x = 84,212.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.