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Finding the Third Proportional to 26,881 and 42,697

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Solution

The third proportional to 26,881 and 42,697 is: 67,818.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,881 : 42,697 = 42,697 : x
  2. Step 2: Convert to fraction form
    26,881/42,697 = 42,697/x
  3. Step 3: Cross multiply
    26,881x = 42,697 × 42,697
  4. Step 4: Simplify right side
    26,881x = 1,823,033,809
  5. Step 5: Solve for x
    x = 1,823,033,809/26,881
  6. Step 6: Final answer
    x = 67,818.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.