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Finding the Third Proportional to 17,394 and 42,042

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Solution

The third proportional to 17,394 and 42,042 is: 101,617.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,394 : 42,042 = 42,042 : x
  2. Step 2: Convert to fraction form
    17,394/42,042 = 42,042/x
  3. Step 3: Cross multiply
    17,394x = 42,042 × 42,042
  4. Step 4: Simplify right side
    17,394x = 1,767,529,764
  5. Step 5: Solve for x
    x = 1,767,529,764/17,394
  6. Step 6: Final answer
    x = 101,617.21

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.