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Finding the Third Proportional to 32,031 and 46,812

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Solution

The third proportional to 32,031 and 46,812 is: 68,413.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,031 : 46,812 = 46,812 : x
  2. Step 2: Convert to fraction form
    32,031/46,812 = 46,812/x
  3. Step 3: Cross multiply
    32,031x = 46,812 × 46,812
  4. Step 4: Simplify right side
    32,031x = 2,191,363,344
  5. Step 5: Solve for x
    x = 2,191,363,344/32,031
  6. Step 6: Final answer
    x = 68,413.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.