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Finding the Third Proportional to 14,145.25 and 31,115.25

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Solution

The third proportional to 14,145.25 and 31,115.25 is: 68,444.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,145.25 : 31,115.25 = 31,115.25 : x
  2. Step 2: Convert to fraction form
    14,145.25/31,115.25 = 31,115.25/x
  3. Step 3: Cross multiply
    14,145.25x = 31,115.25 × 31,115.25
  4. Step 4: Simplify right side
    14,145.25x = 968,158,782.56
  5. Step 5: Solve for x
    x = 968,158,782.56/14,145.25
  6. Step 6: Final answer
    x = 68,444.09

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.