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Finding the Third Proportional to 14,311.50 and 31,004.50

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Solution

The third proportional to 14,311.50 and 31,004.50 is: 67,168.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.50 : 31,004.50 = 31,004.50 : x
  2. Step 2: Convert to fraction form
    14,311.50/31,004.50 = 31,004.50/x
  3. Step 3: Cross multiply
    14,311.50x = 31,004.50 × 31,004.50
  4. Step 4: Simplify right side
    14,311.50x = 961,279,020.25
  5. Step 5: Solve for x
    x = 961,279,020.25/14,311.50
  6. Step 6: Final answer
    x = 67,168.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.