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Finding the Third Proportional to 2,922.75 and 7,575.19

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Solution

The third proportional to 2,922.75 and 7,575.19 is: 19,633.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.75 : 7,575.19 = 7,575.19 : x
  2. Step 2: Convert to fraction form
    2,922.75/7,575.19 = 7,575.19/x
  3. Step 3: Cross multiply
    2,922.75x = 7,575.19 × 7,575.19
  4. Step 4: Simplify right side
    2,922.75x = 57,383,465.66
  5. Step 5: Solve for x
    x = 57,383,465.66/2,922.75
  6. Step 6: Final answer
    x = 19,633.38

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.