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Finding the Third Proportional to 768.66 and 1,653.75

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Solution

The third proportional to 768.66 and 1,653.75 is: 3,558.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.66 : 1,653.75 = 1,653.75 : x
  2. Step 2: Convert to fraction form
    768.66/1,653.75 = 1,653.75/x
  3. Step 3: Cross multiply
    768.66x = 1,653.75 × 1,653.75
  4. Step 4: Simplify right side
    768.66x = 2,734,889.06
  5. Step 5: Solve for x
    x = 2,734,889.06/768.66
  6. Step 6: Final answer
    x = 3,558.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.