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Finding the Third Proportional to 1,651.64 and 2,559.09

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Solution

The third proportional to 1,651.64 and 2,559.09 is: 3,965.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.64 : 2,559.09 = 2,559.09 : x
  2. Step 2: Convert to fraction form
    1,651.64/2,559.09 = 2,559.09/x
  3. Step 3: Cross multiply
    1,651.64x = 2,559.09 × 2,559.09
  4. Step 4: Simplify right side
    1,651.64x = 6,548,960.82
  5. Step 5: Solve for x
    x = 6,548,960.82/1,651.64
  6. Step 6: Final answer
    x = 3,965.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.