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Finding the Third Proportional to 5,584.50 and 7,584

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Solution

The third proportional to 5,584.50 and 7,584 is: 10,299.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.50 : 7,584 = 7,584 : x
  2. Step 2: Convert to fraction form
    5,584.50/7,584 = 7,584/x
  3. Step 3: Cross multiply
    5,584.50x = 7,584 × 7,584
  4. Step 4: Simplify right side
    5,584.50x = 57,517,056
  5. Step 5: Solve for x
    x = 57,517,056/5,584.50
  6. Step 6: Final answer
    x = 10,299.41

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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.