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Finding the Third Proportional to 8,231.63 and 13,059.56

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Solution

The third proportional to 8,231.63 and 13,059.56 is: 20,719.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.63 : 13,059.56 = 13,059.56 : x
  2. Step 2: Convert to fraction form
    8,231.63/13,059.56 = 13,059.56/x
  3. Step 3: Cross multiply
    8,231.63x = 13,059.56 × 13,059.56
  4. Step 4: Simplify right side
    8,231.63x = 170,552,172.69
  5. Step 5: Solve for x
    x = 170,552,172.69/8,231.63
  6. Step 6: Final answer
    x = 20,719.14

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.