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Finding the Third Proportional to 830.69 and 1,747.44

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Solution

The third proportional to 830.69 and 1,747.44 is: 3,675.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.69 : 1,747.44 = 1,747.44 : x
  2. Step 2: Convert to fraction form
    830.69/1,747.44 = 1,747.44/x
  3. Step 3: Cross multiply
    830.69x = 1,747.44 × 1,747.44
  4. Step 4: Simplify right side
    830.69x = 3,053,537.82
  5. Step 5: Solve for x
    x = 3,053,537.82/830.69
  6. Step 6: Final answer
    x = 3,675.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.