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Finding the Third Proportional to 23,099 and 53,891

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Solution

The third proportional to 23,099 and 53,891 is: 125,730.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,099 : 53,891 = 53,891 : x
  2. Step 2: Convert to fraction form
    23,099/53,891 = 53,891/x
  3. Step 3: Cross multiply
    23,099x = 53,891 × 53,891
  4. Step 4: Simplify right side
    23,099x = 2,904,239,881
  5. Step 5: Solve for x
    x = 2,904,239,881/23,099
  6. Step 6: Final answer
    x = 125,730.11

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.