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Finding the Third Proportional to 26,910 and 37,620

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Solution

The third proportional to 26,910 and 37,620 is: 52,592.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,910 : 37,620 = 37,620 : x
  2. Step 2: Convert to fraction form
    26,910/37,620 = 37,620/x
  3. Step 3: Cross multiply
    26,910x = 37,620 × 37,620
  4. Step 4: Simplify right side
    26,910x = 1,415,264,400
  5. Step 5: Solve for x
    x = 1,415,264,400/26,910
  6. Step 6: Final answer
    x = 52,592.51

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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.