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Finding the Third Proportional to 5,804.50 and 9,224.75

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Solution

The third proportional to 5,804.50 and 9,224.75 is: 14,660.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.50 : 9,224.75 = 9,224.75 : x
  2. Step 2: Convert to fraction form
    5,804.50/9,224.75 = 9,224.75/x
  3. Step 3: Cross multiply
    5,804.50x = 9,224.75 × 9,224.75
  4. Step 4: Simplify right side
    5,804.50x = 85,096,012.56
  5. Step 5: Solve for x
    x = 85,096,012.56/5,804.50
  6. Step 6: Final answer
    x = 14,660.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.