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Finding the Third Proportional to 26,586 and 37,251

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Solution

The third proportional to 26,586 and 37,251 is: 52,194.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,586 : 37,251 = 37,251 : x
  2. Step 2: Convert to fraction form
    26,586/37,251 = 37,251/x
  3. Step 3: Cross multiply
    26,586x = 37,251 × 37,251
  4. Step 4: Simplify right side
    26,586x = 1,387,637,001
  5. Step 5: Solve for x
    x = 1,387,637,001/26,586
  6. Step 6: Final answer
    x = 52,194.28

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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.