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Finding the Third Proportional to 14,519.25 and 31,476.09

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Solution

The third proportional to 14,519.25 and 31,476.09 is: 68,236.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,519.25 : 31,476.09 = 31,476.09 : x
  2. Step 2: Convert to fraction form
    14,519.25/31,476.09 = 31,476.09/x
  3. Step 3: Cross multiply
    14,519.25x = 31,476.09 × 31,476.09
  4. Step 4: Simplify right side
    14,519.25x = 990,744,477.76
  5. Step 5: Solve for x
    x = 990,744,477.76/14,519.25
  6. Step 6: Final answer
    x = 68,236.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.