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Finding the Third Proportional to 4,822.88 and 7,029.28

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Solution

The third proportional to 4,822.88 and 7,029.28 is: 10,245.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.88 : 7,029.28 = 7,029.28 : x
  2. Step 2: Convert to fraction form
    4,822.88/7,029.28 = 7,029.28/x
  3. Step 3: Cross multiply
    4,822.88x = 7,029.28 × 7,029.28
  4. Step 4: Simplify right side
    4,822.88x = 49,410,794.89
  5. Step 5: Solve for x
    x = 49,410,794.89/4,822.88
  6. Step 6: Final answer
    x = 10,245.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.