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Finding the Third Proportional to 3,779.06 and 8,135.06

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Solution

The third proportional to 3,779.06 and 8,135.06 is: 17,512.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.06 : 8,135.06 = 8,135.06 : x
  2. Step 2: Convert to fraction form
    3,779.06/8,135.06 = 8,135.06/x
  3. Step 3: Cross multiply
    3,779.06x = 8,135.06 × 8,135.06
  4. Step 4: Simplify right side
    3,779.06x = 66,179,241.88
  5. Step 5: Solve for x
    x = 66,179,241.88/3,779.06
  6. Step 6: Final answer
    x = 17,512.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.