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Finding the Third Proportional to 7,418.75 and 11,553.63

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Solution

The third proportional to 7,418.75 and 11,553.63 is: 17,993.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,418.75 : 11,553.63 = 11,553.63 : x
  2. Step 2: Convert to fraction form
    7,418.75/11,553.63 = 11,553.63/x
  3. Step 3: Cross multiply
    7,418.75x = 11,553.63 × 11,553.63
  4. Step 4: Simplify right side
    7,418.75x = 133,486,250.64
  5. Step 5: Solve for x
    x = 133,486,250.64/7,418.75
  6. Step 6: Final answer
    x = 17,993.09

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.