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Finding the Third Proportional to 5,193 and 7,753.50

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Solution

The third proportional to 5,193 and 7,753.50 is: 11,576.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193 : 7,753.50 = 7,753.50 : x
  2. Step 2: Convert to fraction form
    5,193/7,753.50 = 7,753.50/x
  3. Step 3: Cross multiply
    5,193x = 7,753.50 × 7,753.50
  4. Step 4: Simplify right side
    5,193x = 60,116,762.25
  5. Step 5: Solve for x
    x = 60,116,762.25/5,193
  6. Step 6: Final answer
    x = 11,576.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.