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Finding the Third Proportional to 13,015.69 and 19,564.03

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Solution

The third proportional to 13,015.69 and 19,564.03 is: 29,406.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,015.69 : 19,564.03 = 19,564.03 : x
  2. Step 2: Convert to fraction form
    13,015.69/19,564.03 = 19,564.03/x
  3. Step 3: Cross multiply
    13,015.69x = 19,564.03 × 19,564.03
  4. Step 4: Simplify right side
    13,015.69x = 382,751,318.75
  5. Step 5: Solve for x
    x = 382,751,318.75/13,015.69
  6. Step 6: Final answer
    x = 29,406.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.