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Finding the Third Proportional to 7,963 and 17,042

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Solution

The third proportional to 7,963 and 17,042 is: 36,472.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963 : 17,042 = 17,042 : x
  2. Step 2: Convert to fraction form
    7,963/17,042 = 17,042/x
  3. Step 3: Cross multiply
    7,963x = 17,042 × 17,042
  4. Step 4: Simplify right side
    7,963x = 290,429,764
  5. Step 5: Solve for x
    x = 290,429,764/7,963
  6. Step 6: Final answer
    x = 36,472.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.