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Finding the Third Proportional to 8,073.56 and 17,744.63

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Solution

The third proportional to 8,073.56 and 17,744.63 is: 39,000.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,073.56 : 17,744.63 = 17,744.63 : x
  2. Step 2: Convert to fraction form
    8,073.56/17,744.63 = 17,744.63/x
  3. Step 3: Cross multiply
    8,073.56x = 17,744.63 × 17,744.63
  4. Step 4: Simplify right side
    8,073.56x = 314,871,716.39
  5. Step 5: Solve for x
    x = 314,871,716.39/8,073.56
  6. Step 6: Final answer
    x = 39,000.34

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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.