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Finding the Third Proportional to 26,880 and 37,602

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Solution

The third proportional to 26,880 and 37,602 is: 52,600.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,880 : 37,602 = 37,602 : x
  2. Step 2: Convert to fraction form
    26,880/37,602 = 37,602/x
  3. Step 3: Cross multiply
    26,880x = 37,602 × 37,602
  4. Step 4: Simplify right side
    26,880x = 1,413,910,404
  5. Step 5: Solve for x
    x = 1,413,910,404/26,880
  6. Step 6: Final answer
    x = 52,600.83

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.