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Finding the Third Proportional to 764.63 and 2,035.50

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Solution

The third proportional to 764.63 and 2,035.50 is: 5,418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.63 : 2,035.50 = 2,035.50 : x
  2. Step 2: Convert to fraction form
    764.63/2,035.50 = 2,035.50/x
  3. Step 3: Cross multiply
    764.63x = 2,035.50 × 2,035.50
  4. Step 4: Simplify right side
    764.63x = 4,143,260.25
  5. Step 5: Solve for x
    x = 4,143,260.25/764.63
  6. Step 6: Final answer
    x = 5,418.68

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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.