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Finding the Third Proportional to 27,278 and 37,023

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Solution

The third proportional to 27,278 and 37,023 is: 50,249.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,278 : 37,023 = 37,023 : x
  2. Step 2: Convert to fraction form
    27,278/37,023 = 37,023/x
  3. Step 3: Cross multiply
    27,278x = 37,023 × 37,023
  4. Step 4: Simplify right side
    27,278x = 1,370,702,529
  5. Step 5: Solve for x
    x = 1,370,702,529/27,278
  6. Step 6: Final answer
    x = 50,249.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.