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Finding the Third Proportional to 14,121.75 and 31,065

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Solution

The third proportional to 14,121.75 and 31,065 is: 68,336.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,121.75 : 31,065 = 31,065 : x
  2. Step 2: Convert to fraction form
    14,121.75/31,065 = 31,065/x
  3. Step 3: Cross multiply
    14,121.75x = 31,065 × 31,065
  4. Step 4: Simplify right side
    14,121.75x = 965,034,225
  5. Step 5: Solve for x
    x = 965,034,225/14,121.75
  6. Step 6: Final answer
    x = 68,336.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.