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Finding the Third Proportional to 5,836 and 7,584

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Solution

The third proportional to 5,836 and 7,584 is: 9,855.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836 : 7,584 = 7,584 : x
  2. Step 2: Convert to fraction form
    5,836/7,584 = 7,584/x
  3. Step 3: Cross multiply
    5,836x = 7,584 × 7,584
  4. Step 4: Simplify right side
    5,836x = 57,517,056
  5. Step 5: Solve for x
    x = 57,517,056/5,836
  6. Step 6: Final answer
    x = 9,855.56

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.