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Finding the Third Proportional to 7,304.24 and 16,098.16

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Solution

The third proportional to 7,304.24 and 16,098.16 is: 35,479.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,304.24 : 16,098.16 = 16,098.16 : x
  2. Step 2: Convert to fraction form
    7,304.24/16,098.16 = 16,098.16/x
  3. Step 3: Cross multiply
    7,304.24x = 16,098.16 × 16,098.16
  4. Step 4: Simplify right side
    7,304.24x = 259,150,650.37
  5. Step 5: Solve for x
    x = 259,150,650.37/7,304.24
  6. Step 6: Final answer
    x = 35,479.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.