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Finding the Third Proportional to 20,009 and 23,141

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Solution

The third proportional to 20,009 and 23,141 is: 26,763.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,009 : 23,141 = 23,141 : x
  2. Step 2: Convert to fraction form
    20,009/23,141 = 23,141/x
  3. Step 3: Cross multiply
    20,009x = 23,141 × 23,141
  4. Step 4: Simplify right side
    20,009x = 535,505,881
  5. Step 5: Solve for x
    x = 535,505,881/20,009
  6. Step 6: Final answer
    x = 26,763.25

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.