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Finding the Third Proportional to 7,880 and 17,098

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Solution

The third proportional to 7,880 and 17,098 is: 37,099.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880 : 17,098 = 17,098 : x
  2. Step 2: Convert to fraction form
    7,880/17,098 = 17,098/x
  3. Step 3: Cross multiply
    7,880x = 17,098 × 17,098
  4. Step 4: Simplify right side
    7,880x = 292,341,604
  5. Step 5: Solve for x
    x = 292,341,604/7,880
  6. Step 6: Final answer
    x = 37,099.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.