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Finding the Third Proportional to 38,018 and 56,817

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Solution

The third proportional to 38,018 and 56,817 is: 84,911.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,018 : 56,817 = 56,817 : x
  2. Step 2: Convert to fraction form
    38,018/56,817 = 56,817/x
  3. Step 3: Cross multiply
    38,018x = 56,817 × 56,817
  4. Step 4: Simplify right side
    38,018x = 3,228,171,489
  5. Step 5: Solve for x
    x = 3,228,171,489/38,018
  6. Step 6: Final answer
    x = 84,911.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.