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Finding the Third Proportional to 4,589.16 and 6,894.28

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Solution

The third proportional to 4,589.16 and 6,894.28 is: 10,357.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,589.16 : 6,894.28 = 6,894.28 : x
  2. Step 2: Convert to fraction form
    4,589.16/6,894.28 = 6,894.28/x
  3. Step 3: Cross multiply
    4,589.16x = 6,894.28 × 6,894.28
  4. Step 4: Simplify right side
    4,589.16x = 47,531,113.95
  5. Step 5: Solve for x
    x = 47,531,113.95/4,589.16
  6. Step 6: Final answer
    x = 10,357.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.