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Finding the Third Proportional to 25,009 and 54,311

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Solution

The third proportional to 25,009 and 54,311 is: 117,944.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,009 : 54,311 = 54,311 : x
  2. Step 2: Convert to fraction form
    25,009/54,311 = 54,311/x
  3. Step 3: Cross multiply
    25,009x = 54,311 × 54,311
  4. Step 4: Simplify right side
    25,009x = 2,949,684,721
  5. Step 5: Solve for x
    x = 2,949,684,721/25,009
  6. Step 6: Final answer
    x = 117,944.93

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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.