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Finding the Third Proportional to 27,402 and 37,134

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Solution

The third proportional to 27,402 and 37,134 is: 50,322.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,402 : 37,134 = 37,134 : x
  2. Step 2: Convert to fraction form
    27,402/37,134 = 37,134/x
  3. Step 3: Cross multiply
    27,402x = 37,134 × 37,134
  4. Step 4: Simplify right side
    27,402x = 1,378,933,956
  5. Step 5: Solve for x
    x = 1,378,933,956/27,402
  6. Step 6: Final answer
    x = 50,322.38

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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.