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Finding the Third Proportional to 3,852.75 and 5,535.75

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Solution

The third proportional to 3,852.75 and 5,535.75 is: 7,953.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.75 : 5,535.75 = 5,535.75 : x
  2. Step 2: Convert to fraction form
    3,852.75/5,535.75 = 5,535.75/x
  3. Step 3: Cross multiply
    3,852.75x = 5,535.75 × 5,535.75
  4. Step 4: Simplify right side
    3,852.75x = 30,644,528.06
  5. Step 5: Solve for x
    x = 30,644,528.06/3,852.75
  6. Step 6: Final answer
    x = 7,953.94

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.