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Finding the Third Proportional to 31,586 and 43,395

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Solution

The third proportional to 31,586 and 43,395 is: 59,619.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,586 : 43,395 = 43,395 : x
  2. Step 2: Convert to fraction form
    31,586/43,395 = 43,395/x
  3. Step 3: Cross multiply
    31,586x = 43,395 × 43,395
  4. Step 4: Simplify right side
    31,586x = 1,883,126,025
  5. Step 5: Solve for x
    x = 1,883,126,025/31,586
  6. Step 6: Final answer
    x = 59,619.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.