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Finding the Third Proportional to 23,809 and 51,719

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Solution

The third proportional to 23,809 and 51,719 is: 112,346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,809 : 51,719 = 51,719 : x
  2. Step 2: Convert to fraction form
    23,809/51,719 = 51,719/x
  3. Step 3: Cross multiply
    23,809x = 51,719 × 51,719
  4. Step 4: Simplify right side
    23,809x = 2,674,854,961
  5. Step 5: Solve for x
    x = 2,674,854,961/23,809
  6. Step 6: Final answer
    x = 112,346.38

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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.