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Finding the Third Proportional to 5,724.84 and 8,364.09

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Solution

The third proportional to 5,724.84 and 8,364.09 is: 12,220.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.84 : 8,364.09 = 8,364.09 : x
  2. Step 2: Convert to fraction form
    5,724.84/8,364.09 = 8,364.09/x
  3. Step 3: Cross multiply
    5,724.84x = 8,364.09 × 8,364.09
  4. Step 4: Simplify right side
    5,724.84x = 69,958,064.26
  5. Step 5: Solve for x
    x = 69,958,064.26/5,724.84
  6. Step 6: Final answer
    x = 12,220.08

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.