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Finding the Third Proportional to 1,774.69 and 3,837.94

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Solution

The third proportional to 1,774.69 and 3,837.94 is: 8,299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.69 : 3,837.94 = 3,837.94 : x
  2. Step 2: Convert to fraction form
    1,774.69/3,837.94 = 3,837.94/x
  3. Step 3: Cross multiply
    1,774.69x = 3,837.94 × 3,837.94
  4. Step 4: Simplify right side
    1,774.69x = 14,729,764.25
  5. Step 5: Solve for x
    x = 14,729,764.25/1,774.69
  6. Step 6: Final answer
    x = 8,299.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.