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Finding the Third Proportional to 23,446 and 47,759

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Solution

The third proportional to 23,446 and 47,759 is: 97,284.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,446 : 47,759 = 47,759 : x
  2. Step 2: Convert to fraction form
    23,446/47,759 = 47,759/x
  3. Step 3: Cross multiply
    23,446x = 47,759 × 47,759
  4. Step 4: Simplify right side
    23,446x = 2,280,922,081
  5. Step 5: Solve for x
    x = 2,280,922,081/23,446
  6. Step 6: Final answer
    x = 97,284.06

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.