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Finding the Third Proportional to 1,759.78 and 3,795.47

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Solution

The third proportional to 1,759.78 and 3,795.47 is: 8,186.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.78 : 3,795.47 = 3,795.47 : x
  2. Step 2: Convert to fraction form
    1,759.78/3,795.47 = 3,795.47/x
  3. Step 3: Cross multiply
    1,759.78x = 3,795.47 × 3,795.47
  4. Step 4: Simplify right side
    1,759.78x = 14,405,583.03
  5. Step 5: Solve for x
    x = 14,405,583.03/1,759.78
  6. Step 6: Final answer
    x = 8,186.01

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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.