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Finding the Third Proportional to 31,576 and 52,621

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Solution

The third proportional to 31,576 and 52,621 is: 87,692.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,576 : 52,621 = 52,621 : x
  2. Step 2: Convert to fraction form
    31,576/52,621 = 52,621/x
  3. Step 3: Cross multiply
    31,576x = 52,621 × 52,621
  4. Step 4: Simplify right side
    31,576x = 2,768,969,641
  5. Step 5: Solve for x
    x = 2,768,969,641/31,576
  6. Step 6: Final answer
    x = 87,692.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.