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Finding the Third Proportional to 17,481 and 37,877

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Solution

The third proportional to 17,481 and 37,877 is: 82,070.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,481 : 37,877 = 37,877 : x
  2. Step 2: Convert to fraction form
    17,481/37,877 = 37,877/x
  3. Step 3: Cross multiply
    17,481x = 37,877 × 37,877
  4. Step 4: Simplify right side
    17,481x = 1,434,667,129
  5. Step 5: Solve for x
    x = 1,434,667,129/17,481
  6. Step 6: Final answer
    x = 82,070.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.