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Finding the Third Proportional to 31,698 and 44,523

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Solution

The third proportional to 31,698 and 44,523 is: 62,536.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,698 : 44,523 = 44,523 : x
  2. Step 2: Convert to fraction form
    31,698/44,523 = 44,523/x
  3. Step 3: Cross multiply
    31,698x = 44,523 × 44,523
  4. Step 4: Simplify right side
    31,698x = 1,982,297,529
  5. Step 5: Solve for x
    x = 1,982,297,529/31,698
  6. Step 6: Final answer
    x = 62,536.99

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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.