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Finding the Third Proportional to 13,081.50 and 31,200.19

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Solution

The third proportional to 13,081.50 and 31,200.19 is: 74,414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,081.50 : 31,200.19 = 31,200.19 : x
  2. Step 2: Convert to fraction form
    13,081.50/31,200.19 = 31,200.19/x
  3. Step 3: Cross multiply
    13,081.50x = 31,200.19 × 31,200.19
  4. Step 4: Simplify right side
    13,081.50x = 973,451,700.04
  5. Step 5: Solve for x
    x = 973,451,700.04/13,081.50
  6. Step 6: Final answer
    x = 74,414.38

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.