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Finding the Third Proportional to 13,015.69 and 19,495.69

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Solution

The third proportional to 13,015.69 and 19,495.69 is: 29,201.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,015.69 : 19,495.69 = 19,495.69 : x
  2. Step 2: Convert to fraction form
    13,015.69/19,495.69 = 19,495.69/x
  3. Step 3: Cross multiply
    13,015.69x = 19,495.69 × 19,495.69
  4. Step 4: Simplify right side
    13,015.69x = 380,081,831.10
  5. Step 5: Solve for x
    x = 380,081,831.10/13,015.69
  6. Step 6: Final answer
    x = 29,201.83

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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.