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Finding the Third Proportional to 4,665.94 and 7,224.19

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Solution

The third proportional to 4,665.94 and 7,224.19 is: 11,185.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.94 : 7,224.19 = 7,224.19 : x
  2. Step 2: Convert to fraction form
    4,665.94/7,224.19 = 7,224.19/x
  3. Step 3: Cross multiply
    4,665.94x = 7,224.19 × 7,224.19
  4. Step 4: Simplify right side
    4,665.94x = 52,188,885.04
  5. Step 5: Solve for x
    x = 52,188,885.04/4,665.94
  6. Step 6: Final answer
    x = 11,185.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.