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Finding the Third Proportional to 1,776.38 and 3,794.63

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Solution

The third proportional to 1,776.38 and 3,794.63 is: 8,105.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.38 : 3,794.63 = 3,794.63 : x
  2. Step 2: Convert to fraction form
    1,776.38/3,794.63 = 3,794.63/x
  3. Step 3: Cross multiply
    1,776.38x = 3,794.63 × 3,794.63
  4. Step 4: Simplify right side
    1,776.38x = 14,399,178.89
  5. Step 5: Solve for x
    x = 14,399,178.89/1,776.38
  6. Step 6: Final answer
    x = 8,105.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.