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Finding the Third Proportional to 7,824.94 and 11,804.91

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Solution

The third proportional to 7,824.94 and 11,804.91 is: 17,809.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.94 : 11,804.91 = 11,804.91 : x
  2. Step 2: Convert to fraction form
    7,824.94/11,804.91 = 11,804.91/x
  3. Step 3: Cross multiply
    7,824.94x = 11,804.91 × 11,804.91
  4. Step 4: Simplify right side
    7,824.94x = 139,355,811.57
  5. Step 5: Solve for x
    x = 139,355,811.57/7,824.94
  6. Step 6: Final answer
    x = 17,809.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.