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Finding the Third Proportional to 7,829 and 17,110

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Solution

The third proportional to 7,829 and 17,110 is: 37,393.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829 : 17,110 = 17,110 : x
  2. Step 2: Convert to fraction form
    7,829/17,110 = 17,110/x
  3. Step 3: Cross multiply
    7,829x = 17,110 × 17,110
  4. Step 4: Simplify right side
    7,829x = 292,752,100
  5. Step 5: Solve for x
    x = 292,752,100/7,829
  6. Step 6: Final answer
    x = 37,393.29

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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.