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Finding the Third Proportional to 3,804.47 and 9,098.16

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Solution

The third proportional to 3,804.47 and 9,098.16 is: 21,757.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.47 : 9,098.16 = 9,098.16 : x
  2. Step 2: Convert to fraction form
    3,804.47/9,098.16 = 9,098.16/x
  3. Step 3: Cross multiply
    3,804.47x = 9,098.16 × 9,098.16
  4. Step 4: Simplify right side
    3,804.47x = 82,776,447.15
  5. Step 5: Solve for x
    x = 82,776,447.15/3,804.47
  6. Step 6: Final answer
    x = 21,757.69

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.