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Finding the Third Proportional to 15,963 and 34,098

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Solution

The third proportional to 15,963 and 34,098 is: 72,835.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,963 : 34,098 = 34,098 : x
  2. Step 2: Convert to fraction form
    15,963/34,098 = 34,098/x
  3. Step 3: Cross multiply
    15,963x = 34,098 × 34,098
  4. Step 4: Simplify right side
    15,963x = 1,162,673,604
  5. Step 5: Solve for x
    x = 1,162,673,604/15,963
  6. Step 6: Final answer
    x = 72,835.53

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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.