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Finding the Third Proportional to 5,158.69 and 7,029.28

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Solution

The third proportional to 5,158.69 and 7,029.28 is: 9,578.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.69 : 7,029.28 = 7,029.28 : x
  2. Step 2: Convert to fraction form
    5,158.69/7,029.28 = 7,029.28/x
  3. Step 3: Cross multiply
    5,158.69x = 7,029.28 × 7,029.28
  4. Step 4: Simplify right side
    5,158.69x = 49,410,794.89
  5. Step 5: Solve for x
    x = 49,410,794.89/5,158.69
  6. Step 6: Final answer
    x = 9,578.17

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.