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Finding the Third Proportional to 14,033.25 and 31,181.84

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Solution

The third proportional to 14,033.25 and 31,181.84 is: 69,285.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,033.25 : 31,181.84 = 31,181.84 : x
  2. Step 2: Convert to fraction form
    14,033.25/31,181.84 = 31,181.84/x
  3. Step 3: Cross multiply
    14,033.25x = 31,181.84 × 31,181.84
  4. Step 4: Simplify right side
    14,033.25x = 972,306,892.43
  5. Step 5: Solve for x
    x = 972,306,892.43/14,033.25
  6. Step 6: Final answer
    x = 69,285.94

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.