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Finding the Third Proportional to 31,018 and 45,183

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Solution

The third proportional to 31,018 and 45,183 is: 65,816.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,018 : 45,183 = 45,183 : x
  2. Step 2: Convert to fraction form
    31,018/45,183 = 45,183/x
  3. Step 3: Cross multiply
    31,018x = 45,183 × 45,183
  4. Step 4: Simplify right side
    31,018x = 2,041,503,489
  5. Step 5: Solve for x
    x = 2,041,503,489/31,018
  6. Step 6: Final answer
    x = 65,816.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.