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Finding the Third Proportional to 37,134 and 56,016

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Solution

The third proportional to 37,134 and 56,016 is: 84,499.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,134 : 56,016 = 56,016 : x
  2. Step 2: Convert to fraction form
    37,134/56,016 = 56,016/x
  3. Step 3: Cross multiply
    37,134x = 56,016 × 56,016
  4. Step 4: Simplify right side
    37,134x = 3,137,792,256
  5. Step 5: Solve for x
    x = 3,137,792,256/37,134
  6. Step 6: Final answer
    x = 84,499.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.