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Finding the Third Proportional to 4,440.94 and 5,924.81

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Solution

The third proportional to 4,440.94 and 5,924.81 is: 7,904.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,440.94 : 5,924.81 = 5,924.81 : x
  2. Step 2: Convert to fraction form
    4,440.94/5,924.81 = 5,924.81/x
  3. Step 3: Cross multiply
    4,440.94x = 5,924.81 × 5,924.81
  4. Step 4: Simplify right side
    4,440.94x = 35,103,403.16
  5. Step 5: Solve for x
    x = 35,103,403.16/4,440.94
  6. Step 6: Final answer
    x = 7,904.50

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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.