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Finding the Third Proportional to 13,012.50 and 27,998.25

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Solution

The third proportional to 13,012.50 and 27,998.25 is: 60,242.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012.50 : 27,998.25 = 27,998.25 : x
  2. Step 2: Convert to fraction form
    13,012.50/27,998.25 = 27,998.25/x
  3. Step 3: Cross multiply
    13,012.50x = 27,998.25 × 27,998.25
  4. Step 4: Simplify right side
    13,012.50x = 783,902,003.06
  5. Step 5: Solve for x
    x = 783,902,003.06/13,012.50
  6. Step 6: Final answer
    x = 60,242.23

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.