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Finding the Third Proportional to 3,212.16 and 4,852.41

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Solution

The third proportional to 3,212.16 and 4,852.41 is: 7,330.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.16 : 4,852.41 = 4,852.41 : x
  2. Step 2: Convert to fraction form
    3,212.16/4,852.41 = 4,852.41/x
  3. Step 3: Cross multiply
    3,212.16x = 4,852.41 × 4,852.41
  4. Step 4: Simplify right side
    3,212.16x = 23,545,846.42
  5. Step 5: Solve for x
    x = 23,545,846.42/3,212.16
  6. Step 6: Final answer
    x = 7,330.23

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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.