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Finding the Third Proportional to 14,571 and 31,266

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Solution

The third proportional to 14,571 and 31,266 is: 67,089.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,571 : 31,266 = 31,266 : x
  2. Step 2: Convert to fraction form
    14,571/31,266 = 31,266/x
  3. Step 3: Cross multiply
    14,571x = 31,266 × 31,266
  4. Step 4: Simplify right side
    14,571x = 977,562,756
  5. Step 5: Solve for x
    x = 977,562,756/14,571
  6. Step 6: Final answer
    x = 67,089.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.