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Finding the Third Proportional to 31,762 and 43,593

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Solution

The third proportional to 31,762 and 43,593 is: 59,830.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,762 : 43,593 = 43,593 : x
  2. Step 2: Convert to fraction form
    31,762/43,593 = 43,593/x
  3. Step 3: Cross multiply
    31,762x = 43,593 × 43,593
  4. Step 4: Simplify right side
    31,762x = 1,900,349,649
  5. Step 5: Solve for x
    x = 1,900,349,649/31,762
  6. Step 6: Final answer
    x = 59,830.92

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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.