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Finding the Third Proportional to 5,807 and 7,734

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Solution

The third proportional to 5,807 and 7,734 is: 10,300.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807 : 7,734 = 7,734 : x
  2. Step 2: Convert to fraction form
    5,807/7,734 = 7,734/x
  3. Step 3: Cross multiply
    5,807x = 7,734 × 7,734
  4. Step 4: Simplify right side
    5,807x = 59,814,756
  5. Step 5: Solve for x
    x = 59,814,756/5,807
  6. Step 6: Final answer
    x = 10,300.46

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.