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Finding the Third Proportional to 2,883.75 and 6,104.25

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Solution

The third proportional to 2,883.75 and 6,104.25 is: 12,921.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.75 : 6,104.25 = 6,104.25 : x
  2. Step 2: Convert to fraction form
    2,883.75/6,104.25 = 6,104.25/x
  3. Step 3: Cross multiply
    2,883.75x = 6,104.25 × 6,104.25
  4. Step 4: Simplify right side
    2,883.75x = 37,261,868.06
  5. Step 5: Solve for x
    x = 37,261,868.06/2,883.75
  6. Step 6: Final answer
    x = 12,921.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.