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Finding the Third Proportional to 1,679.44 and 2,525.63

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Solution

The third proportional to 1,679.44 and 2,525.63 is: 3,798.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.44 : 2,525.63 = 2,525.63 : x
  2. Step 2: Convert to fraction form
    1,679.44/2,525.63 = 2,525.63/x
  3. Step 3: Cross multiply
    1,679.44x = 2,525.63 × 2,525.63
  4. Step 4: Simplify right side
    1,679.44x = 6,378,781.64
  5. Step 5: Solve for x
    x = 6,378,781.64/1,679.44
  6. Step 6: Final answer
    x = 3,798.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.