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Finding the Third Proportional to 4,857.75 and 7,724.44

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Solution

The third proportional to 4,857.75 and 7,724.44 is: 12,282.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.75 : 7,724.44 = 7,724.44 : x
  2. Step 2: Convert to fraction form
    4,857.75/7,724.44 = 7,724.44/x
  3. Step 3: Cross multiply
    4,857.75x = 7,724.44 × 7,724.44
  4. Step 4: Simplify right side
    4,857.75x = 59,666,934.69
  5. Step 5: Solve for x
    x = 59,666,934.69/4,857.75
  6. Step 6: Final answer
    x = 12,282.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.