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Finding the Third Proportional to 7,568.44 and 16,172.16

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Solution

The third proportional to 7,568.44 and 16,172.16 is: 34,556.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.44 : 16,172.16 = 16,172.16 : x
  2. Step 2: Convert to fraction form
    7,568.44/16,172.16 = 16,172.16/x
  3. Step 3: Cross multiply
    7,568.44x = 16,172.16 × 16,172.16
  4. Step 4: Simplify right side
    7,568.44x = 261,538,637.77
  5. Step 5: Solve for x
    x = 261,538,637.77/7,568.44
  6. Step 6: Final answer
    x = 34,556.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.