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Finding the Third Proportional to 24,066 and 53,739

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Solution

The third proportional to 24,066 and 53,739 is: 119,998.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,066 : 53,739 = 53,739 : x
  2. Step 2: Convert to fraction form
    24,066/53,739 = 53,739/x
  3. Step 3: Cross multiply
    24,066x = 53,739 × 53,739
  4. Step 4: Simplify right side
    24,066x = 2,887,880,121
  5. Step 5: Solve for x
    x = 2,887,880,121/24,066
  6. Step 6: Final answer
    x = 119,998.34

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.