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Finding the Third Proportional to 4,816.81 and 7,692.94

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Solution

The third proportional to 4,816.81 and 7,692.94 is: 12,286.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,816.81 : 7,692.94 = 7,692.94 : x
  2. Step 2: Convert to fraction form
    4,816.81/7,692.94 = 7,692.94/x
  3. Step 3: Cross multiply
    4,816.81x = 7,692.94 × 7,692.94
  4. Step 4: Simplify right side
    4,816.81x = 59,181,377.53
  5. Step 5: Solve for x
    x = 59,181,377.53/4,816.81
  6. Step 6: Final answer
    x = 12,286.42

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.