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Finding the Third Proportional to 1,704.38 and 1,992.09

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Solution

The third proportional to 1,704.38 and 1,992.09 is: 2,328.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.38 : 1,992.09 = 1,992.09 : x
  2. Step 2: Convert to fraction form
    1,704.38/1,992.09 = 1,992.09/x
  3. Step 3: Cross multiply
    1,704.38x = 1,992.09 × 1,992.09
  4. Step 4: Simplify right side
    1,704.38x = 3,968,437.51
  5. Step 5: Solve for x
    x = 3,968,437.51/1,704.38
  6. Step 6: Final answer
    x = 2,328.38

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.