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Finding the Third Proportional to 2,535.19 and 3,860.44

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Solution

The third proportional to 2,535.19 and 3,860.44 is: 5,878.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.19 : 3,860.44 = 3,860.44 : x
  2. Step 2: Convert to fraction form
    2,535.19/3,860.44 = 3,860.44/x
  3. Step 3: Cross multiply
    2,535.19x = 3,860.44 × 3,860.44
  4. Step 4: Simplify right side
    2,535.19x = 14,902,977.69
  5. Step 5: Solve for x
    x = 14,902,977.69/2,535.19
  6. Step 6: Final answer
    x = 5,878.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.