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Finding the Third Proportional to 5,894 and 6,694

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Solution

The third proportional to 5,894 and 6,694 is: 7,602.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894 : 6,694 = 6,694 : x
  2. Step 2: Convert to fraction form
    5,894/6,694 = 6,694/x
  3. Step 3: Cross multiply
    5,894x = 6,694 × 6,694
  4. Step 4: Simplify right side
    5,894x = 44,809,636
  5. Step 5: Solve for x
    x = 44,809,636/5,894
  6. Step 6: Final answer
    x = 7,602.59

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.