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Finding the Third Proportional to 8,529.75 and 18,342.56

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Solution

The third proportional to 8,529.75 and 18,342.56 is: 39,444.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,529.75 : 18,342.56 = 18,342.56 : x
  2. Step 2: Convert to fraction form
    8,529.75/18,342.56 = 18,342.56/x
  3. Step 3: Cross multiply
    8,529.75x = 18,342.56 × 18,342.56
  4. Step 4: Simplify right side
    8,529.75x = 336,449,599.07
  5. Step 5: Solve for x
    x = 336,449,599.07/8,529.75
  6. Step 6: Final answer
    x = 39,444.25

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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.