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Finding the Third Proportional to 1,662.75 and 4,480.88

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Solution

The third proportional to 1,662.75 and 4,480.88 is: 12,075.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.75 : 4,480.88 = 4,480.88 : x
  2. Step 2: Convert to fraction form
    1,662.75/4,480.88 = 4,480.88/x
  3. Step 3: Cross multiply
    1,662.75x = 4,480.88 × 4,480.88
  4. Step 4: Simplify right side
    1,662.75x = 20,078,240.77
  5. Step 5: Solve for x
    x = 20,078,240.77/1,662.75
  6. Step 6: Final answer
    x = 12,075.32

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These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.