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Finding the Third Proportional to 35,462 and 54,134

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Solution

The third proportional to 35,462 and 54,134 is: 82,637.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,462 : 54,134 = 54,134 : x
  2. Step 2: Convert to fraction form
    35,462/54,134 = 54,134/x
  3. Step 3: Cross multiply
    35,462x = 54,134 × 54,134
  4. Step 4: Simplify right side
    35,462x = 2,930,489,956
  5. Step 5: Solve for x
    x = 2,930,489,956/35,462
  6. Step 6: Final answer
    x = 82,637.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.