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Finding the Third Proportional to 1,566.75 and 3,336.38

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Solution

The third proportional to 1,566.75 and 3,336.38 is: 7,104.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.75 : 3,336.38 = 3,336.38 : x
  2. Step 2: Convert to fraction form
    1,566.75/3,336.38 = 3,336.38/x
  3. Step 3: Cross multiply
    1,566.75x = 3,336.38 × 3,336.38
  4. Step 4: Simplify right side
    1,566.75x = 11,131,398.14
  5. Step 5: Solve for x
    x = 11,131,398.14/1,566.75
  6. Step 6: Final answer
    x = 7,104.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.