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Finding the Third Proportional to 5,400.11 and 7,443.77

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Solution

The third proportional to 5,400.11 and 7,443.77 is: 10,260.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,400.11 : 7,443.77 = 7,443.77 : x
  2. Step 2: Convert to fraction form
    5,400.11/7,443.77 = 7,443.77/x
  3. Step 3: Cross multiply
    5,400.11x = 7,443.77 × 7,443.77
  4. Step 4: Simplify right side
    5,400.11x = 55,409,762.99
  5. Step 5: Solve for x
    x = 55,409,762.99/5,400.11
  6. Step 6: Final answer
    x = 10,260.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.