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Finding the Third Proportional to 764.88 and 2,035.75

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Solution

The third proportional to 764.88 and 2,035.75 is: 5,418.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.88 : 2,035.75 = 2,035.75 : x
  2. Step 2: Convert to fraction form
    764.88/2,035.75 = 2,035.75/x
  3. Step 3: Cross multiply
    764.88x = 2,035.75 × 2,035.75
  4. Step 4: Simplify right side
    764.88x = 4,144,278.06
  5. Step 5: Solve for x
    x = 4,144,278.06/764.88
  6. Step 6: Final answer
    x = 5,418.24

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Why These Related Problems?

These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.