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Finding the Third Proportional to 31,858 and 44,569

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Solution

The third proportional to 31,858 and 44,569 is: 62,351.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,858 : 44,569 = 44,569 : x
  2. Step 2: Convert to fraction form
    31,858/44,569 = 44,569/x
  3. Step 3: Cross multiply
    31,858x = 44,569 × 44,569
  4. Step 4: Simplify right side
    31,858x = 1,986,395,761
  5. Step 5: Solve for x
    x = 1,986,395,761/31,858
  6. Step 6: Final answer
    x = 62,351.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.