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Finding the Third Proportional to 4,730.91 and 5,229.56

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Solution

The third proportional to 4,730.91 and 5,229.56 is: 5,780.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,730.91 : 5,229.56 = 5,229.56 : x
  2. Step 2: Convert to fraction form
    4,730.91/5,229.56 = 5,229.56/x
  3. Step 3: Cross multiply
    4,730.91x = 5,229.56 × 5,229.56
  4. Step 4: Simplify right side
    4,730.91x = 27,348,323.94
  5. Step 5: Solve for x
    x = 27,348,323.94/4,730.91
  6. Step 6: Final answer
    x = 5,780.78

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.