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Finding the Third Proportional to 1,669.50 and 3,621.75

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Solution

The third proportional to 1,669.50 and 3,621.75 is: 7,856.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.50 : 3,621.75 = 3,621.75 : x
  2. Step 2: Convert to fraction form
    1,669.50/3,621.75 = 3,621.75/x
  3. Step 3: Cross multiply
    1,669.50x = 3,621.75 × 3,621.75
  4. Step 4: Simplify right side
    1,669.50x = 13,117,073.06
  5. Step 5: Solve for x
    x = 13,117,073.06/1,669.50
  6. Step 6: Final answer
    x = 7,856.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.