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Finding the Third Proportional to 14,310.25 and 31,162.75

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Solution

The third proportional to 14,310.25 and 31,162.75 is: 67,861.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,310.25 : 31,162.75 = 31,162.75 : x
  2. Step 2: Convert to fraction form
    14,310.25/31,162.75 = 31,162.75/x
  3. Step 3: Cross multiply
    14,310.25x = 31,162.75 × 31,162.75
  4. Step 4: Simplify right side
    14,310.25x = 971,116,987.56
  5. Step 5: Solve for x
    x = 971,116,987.56/14,310.25
  6. Step 6: Final answer
    x = 67,861.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.