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Finding the Third Proportional to 1,893.38 and 2,779.31

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Solution

The third proportional to 1,893.38 and 2,779.31 is: 4,079.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.38 : 2,779.31 = 2,779.31 : x
  2. Step 2: Convert to fraction form
    1,893.38/2,779.31 = 2,779.31/x
  3. Step 3: Cross multiply
    1,893.38x = 2,779.31 × 2,779.31
  4. Step 4: Simplify right side
    1,893.38x = 7,724,577.97
  5. Step 5: Solve for x
    x = 7,724,577.97/1,893.38
  6. Step 6: Final answer
    x = 4,079.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.