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Finding the Third Proportional to 13,679.25 and 19,559.63

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Solution

The third proportional to 13,679.25 and 19,559.63 is: 27,967.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,679.25 : 19,559.63 = 19,559.63 : x
  2. Step 2: Convert to fraction form
    13,679.25/19,559.63 = 19,559.63/x
  3. Step 3: Cross multiply
    13,679.25x = 19,559.63 × 19,559.63
  4. Step 4: Simplify right side
    13,679.25x = 382,578,930.14
  5. Step 5: Solve for x
    x = 382,578,930.14/13,679.25
  6. Step 6: Final answer
    x = 27,967.83

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.