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Finding the Third Proportional to 1,969.15 and 2,861.89

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Solution

The third proportional to 1,969.15 and 2,861.89 is: 4,159.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.15 : 2,861.89 = 2,861.89 : x
  2. Step 2: Convert to fraction form
    1,969.15/2,861.89 = 2,861.89/x
  3. Step 3: Cross multiply
    1,969.15x = 2,861.89 × 2,861.89
  4. Step 4: Simplify right side
    1,969.15x = 8,190,440.31
  5. Step 5: Solve for x
    x = 8,190,440.31/1,969.15
  6. Step 6: Final answer
    x = 4,159.37

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Why These Related Problems?

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