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Finding the Third Proportional to 2,621 and 3,951.75

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Solution

The third proportional to 2,621 and 3,951.75 is: 5,958.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621 : 3,951.75 = 3,951.75 : x
  2. Step 2: Convert to fraction form
    2,621/3,951.75 = 3,951.75/x
  3. Step 3: Cross multiply
    2,621x = 3,951.75 × 3,951.75
  4. Step 4: Simplify right side
    2,621x = 15,616,328.06
  5. Step 5: Solve for x
    x = 15,616,328.06/2,621
  6. Step 6: Final answer
    x = 5,958.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.