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Finding the Third Proportional to 2,094.75 and 2,885.48

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Solution

The third proportional to 2,094.75 and 2,885.48 is: 3,974.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.75 : 2,885.48 = 2,885.48 : x
  2. Step 2: Convert to fraction form
    2,094.75/2,885.48 = 2,885.48/x
  3. Step 3: Cross multiply
    2,094.75x = 2,885.48 × 2,885.48
  4. Step 4: Simplify right side
    2,094.75x = 8,326,020.08
  5. Step 5: Solve for x
    x = 8,326,020.08/2,094.75
  6. Step 6: Final answer
    x = 3,974.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.