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Finding the Third Proportional to 1,747.83 and 3,779.16

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Solution

The third proportional to 1,747.83 and 3,779.16 is: 8,171.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.83 : 3,779.16 = 3,779.16 : x
  2. Step 2: Convert to fraction form
    1,747.83/3,779.16 = 3,779.16/x
  3. Step 3: Cross multiply
    1,747.83x = 3,779.16 × 3,779.16
  4. Step 4: Simplify right side
    1,747.83x = 14,282,021.96
  5. Step 5: Solve for x
    x = 14,282,021.96/1,747.83
  6. Step 6: Final answer
    x = 8,171.30

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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.