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Finding the Third Proportional to 6,239.53 and 13,517.51

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Solution

The third proportional to 6,239.53 and 13,517.51 is: 29,284.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,239.53 : 13,517.51 = 13,517.51 : x
  2. Step 2: Convert to fraction form
    6,239.53/13,517.51 = 13,517.51/x
  3. Step 3: Cross multiply
    6,239.53x = 13,517.51 × 13,517.51
  4. Step 4: Simplify right side
    6,239.53x = 182,723,017.46
  5. Step 5: Solve for x
    x = 182,723,017.46/6,239.53
  6. Step 6: Final answer
    x = 29,284.73

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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.