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Finding the Third Proportional to 1,739.09 and 3,866.97

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Solution

The third proportional to 1,739.09 and 3,866.97 is: 8,598.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.09 : 3,866.97 = 3,866.97 : x
  2. Step 2: Convert to fraction form
    1,739.09/3,866.97 = 3,866.97/x
  3. Step 3: Cross multiply
    1,739.09x = 3,866.97 × 3,866.97
  4. Step 4: Simplify right side
    1,739.09x = 14,953,447.31
  5. Step 5: Solve for x
    x = 14,953,447.31/1,739.09
  6. Step 6: Final answer
    x = 8,598.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.