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Finding the Third Proportional to 992.75 and 2,181.25

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Solution

The third proportional to 992.75 and 2,181.25 is: 4,792.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.75 : 2,181.25 = 2,181.25 : x
  2. Step 2: Convert to fraction form
    992.75/2,181.25 = 2,181.25/x
  3. Step 3: Cross multiply
    992.75x = 2,181.25 × 2,181.25
  4. Step 4: Simplify right side
    992.75x = 4,757,851.56
  5. Step 5: Solve for x
    x = 4,757,851.56/992.75
  6. Step 6: Final answer
    x = 4,792.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.