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Finding the Third Proportional to 2,085.75 and 3,219.75

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Solution

The third proportional to 2,085.75 and 3,219.75 is: 4,970.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.75 : 3,219.75 = 3,219.75 : x
  2. Step 2: Convert to fraction form
    2,085.75/3,219.75 = 3,219.75/x
  3. Step 3: Cross multiply
    2,085.75x = 3,219.75 × 3,219.75
  4. Step 4: Simplify right side
    2,085.75x = 10,366,790.06
  5. Step 5: Solve for x
    x = 10,366,790.06/2,085.75
  6. Step 6: Final answer
    x = 4,970.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.