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Finding the Third Proportional to 1,965.09 and 2,623.64

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Solution

The third proportional to 1,965.09 and 2,623.64 is: 3,502.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.09 : 2,623.64 = 2,623.64 : x
  2. Step 2: Convert to fraction form
    1,965.09/2,623.64 = 2,623.64/x
  3. Step 3: Cross multiply
    1,965.09x = 2,623.64 × 2,623.64
  4. Step 4: Simplify right side
    1,965.09x = 6,883,490.13
  5. Step 5: Solve for x
    x = 6,883,490.13/1,965.09
  6. Step 6: Final answer
    x = 3,502.88

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.