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Finding the Third Proportional to 2,841.75 and 4,129.31

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Solution

The third proportional to 2,841.75 and 4,129.31 is: 6,000.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.75 : 4,129.31 = 4,129.31 : x
  2. Step 2: Convert to fraction form
    2,841.75/4,129.31 = 4,129.31/x
  3. Step 3: Cross multiply
    2,841.75x = 4,129.31 × 4,129.31
  4. Step 4: Simplify right side
    2,841.75x = 17,051,221.72
  5. Step 5: Solve for x
    x = 17,051,221.72/2,841.75
  6. Step 6: Final answer
    x = 6,000.25

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.