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Finding the Third Proportional to 4,199.63 and 7,804.13

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Solution

The third proportional to 4,199.63 and 7,804.13 is: 14,502.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.63 : 7,804.13 = 7,804.13 : x
  2. Step 2: Convert to fraction form
    4,199.63/7,804.13 = 7,804.13/x
  3. Step 3: Cross multiply
    4,199.63x = 7,804.13 × 7,804.13
  4. Step 4: Simplify right side
    4,199.63x = 60,904,367.02
  5. Step 5: Solve for x
    x = 60,904,367.02/4,199.63
  6. Step 6: Final answer
    x = 14,502.33

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.