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Finding the Third Proportional to 768.94 and 1,765.13

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Solution

The third proportional to 768.94 and 1,765.13 is: 4,051.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.94 : 1,765.13 = 1,765.13 : x
  2. Step 2: Convert to fraction form
    768.94/1,765.13 = 1,765.13/x
  3. Step 3: Cross multiply
    768.94x = 1,765.13 × 1,765.13
  4. Step 4: Simplify right side
    768.94x = 3,115,666.27
  5. Step 5: Solve for x
    x = 3,115,666.27/768.94
  6. Step 6: Final answer
    x = 4,051.91

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.