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Finding the Third Proportional to 14,343.75 and 31,069.69

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Solution

The third proportional to 14,343.75 and 31,069.69 is: 67,299.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,343.75 : 31,069.69 = 31,069.69 : x
  2. Step 2: Convert to fraction form
    14,343.75/31,069.69 = 31,069.69/x
  3. Step 3: Cross multiply
    14,343.75x = 31,069.69 × 31,069.69
  4. Step 4: Simplify right side
    14,343.75x = 965,325,481.35
  5. Step 5: Solve for x
    x = 965,325,481.35/14,343.75
  6. Step 6: Final answer
    x = 67,299.38

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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.