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Finding the Third Proportional to 3,501.56 and 5,183.16

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Solution

The third proportional to 3,501.56 and 5,183.16 is: 7,672.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.56 : 5,183.16 = 5,183.16 : x
  2. Step 2: Convert to fraction form
    3,501.56/5,183.16 = 5,183.16/x
  3. Step 3: Cross multiply
    3,501.56x = 5,183.16 × 5,183.16
  4. Step 4: Simplify right side
    3,501.56x = 26,865,108.71
  5. Step 5: Solve for x
    x = 26,865,108.71/3,501.56
  6. Step 6: Final answer
    x = 7,672.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.