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Finding the Third Proportional to 4,855.78 and 7,816.92

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Solution

The third proportional to 4,855.78 and 7,816.92 is: 12,583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,855.78 : 7,816.92 = 7,816.92 : x
  2. Step 2: Convert to fraction form
    4,855.78/7,816.92 = 7,816.92/x
  3. Step 3: Cross multiply
    4,855.78x = 7,816.92 × 7,816.92
  4. Step 4: Simplify right side
    4,855.78x = 61,104,267.60
  5. Step 5: Solve for x
    x = 61,104,267.60/4,855.78
  6. Step 6: Final answer
    x = 12,583.82

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.