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Finding the Third Proportional to 23,098 and 34,856

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Solution

The third proportional to 23,098 and 34,856 is: 52,599.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,098 : 34,856 = 34,856 : x
  2. Step 2: Convert to fraction form
    23,098/34,856 = 34,856/x
  3. Step 3: Cross multiply
    23,098x = 34,856 × 34,856
  4. Step 4: Simplify right side
    23,098x = 1,214,940,736
  5. Step 5: Solve for x
    x = 1,214,940,736/23,098
  6. Step 6: Final answer
    x = 52,599.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.