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Finding the Third Proportional to 27,808 and 37,392

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Solution

The third proportional to 27,808 and 37,392 is: 50,279.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,808 : 37,392 = 37,392 : x
  2. Step 2: Convert to fraction form
    27,808/37,392 = 37,392/x
  3. Step 3: Cross multiply
    27,808x = 37,392 × 37,392
  4. Step 4: Simplify right side
    27,808x = 1,398,161,664
  5. Step 5: Solve for x
    x = 1,398,161,664/27,808
  6. Step 6: Final answer
    x = 50,279.12

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.