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Finding the Third Proportional to 1,366.88 and 2,904.61

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Solution

The third proportional to 1,366.88 and 2,904.61 is: 6,172.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.88 : 2,904.61 = 2,904.61 : x
  2. Step 2: Convert to fraction form
    1,366.88/2,904.61 = 2,904.61/x
  3. Step 3: Cross multiply
    1,366.88x = 2,904.61 × 2,904.61
  4. Step 4: Simplify right side
    1,366.88x = 8,436,755.62
  5. Step 5: Solve for x
    x = 8,436,755.62/1,366.88
  6. Step 6: Final answer
    x = 6,172.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.