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Finding the Third Proportional to 14,110 and 31,005

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Solution

The third proportional to 14,110 and 31,005 is: 68,129.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,110 : 31,005 = 31,005 : x
  2. Step 2: Convert to fraction form
    14,110/31,005 = 31,005/x
  3. Step 3: Cross multiply
    14,110x = 31,005 × 31,005
  4. Step 4: Simplify right side
    14,110x = 961,310,025
  5. Step 5: Solve for x
    x = 961,310,025/14,110
  6. Step 6: Final answer
    x = 68,129.70

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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.