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Finding the Third Proportional to 24,842 and 39,891

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Solution

The third proportional to 24,842 and 39,891 is: 64,056.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,842 : 39,891 = 39,891 : x
  2. Step 2: Convert to fraction form
    24,842/39,891 = 39,891/x
  3. Step 3: Cross multiply
    24,842x = 39,891 × 39,891
  4. Step 4: Simplify right side
    24,842x = 1,591,291,881
  5. Step 5: Solve for x
    x = 1,591,291,881/24,842
  6. Step 6: Final answer
    x = 64,056.51

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.