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Finding the Third Proportional to 5,236.37 and 7,324.80

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Solution

The third proportional to 5,236.37 and 7,324.80 is: 10,246.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.37 : 7,324.80 = 7,324.80 : x
  2. Step 2: Convert to fraction form
    5,236.37/7,324.80 = 7,324.80/x
  3. Step 3: Cross multiply
    5,236.37x = 7,324.80 × 7,324.80
  4. Step 4: Simplify right side
    5,236.37x = 53,652,763.71
  5. Step 5: Solve for x
    x = 53,652,763.71/5,236.37
  6. Step 6: Final answer
    x = 10,246.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.