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Finding the Third Proportional to 13,231.69 and 29,055.38

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Solution

The third proportional to 13,231.69 and 29,055.38 is: 63,802.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,231.69 : 29,055.38 = 29,055.38 : x
  2. Step 2: Convert to fraction form
    13,231.69/29,055.38 = 29,055.38/x
  3. Step 3: Cross multiply
    13,231.69x = 29,055.38 × 29,055.38
  4. Step 4: Simplify right side
    13,231.69x = 844,214,816.39
  5. Step 5: Solve for x
    x = 844,214,816.39/13,231.69
  6. Step 6: Final answer
    x = 63,802.51

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.