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Finding the Third Proportional to 1,294.03 and 1,965.09

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Solution

The third proportional to 1,294.03 and 1,965.09 is: 2,984.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.03 : 1,965.09 = 1,965.09 : x
  2. Step 2: Convert to fraction form
    1,294.03/1,965.09 = 1,965.09/x
  3. Step 3: Cross multiply
    1,294.03x = 1,965.09 × 1,965.09
  4. Step 4: Simplify right side
    1,294.03x = 3,861,593.45
  5. Step 5: Solve for x
    x = 3,861,593.45/1,294.03
  6. Step 6: Final answer
    x = 2,984.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.