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Finding the Third Proportional to 4,485.75 and 4,899.75

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Solution

The third proportional to 4,485.75 and 4,899.75 is: 5,351.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,485.75 : 4,899.75 = 4,899.75 : x
  2. Step 2: Convert to fraction form
    4,485.75/4,899.75 = 4,899.75/x
  3. Step 3: Cross multiply
    4,485.75x = 4,899.75 × 4,899.75
  4. Step 4: Simplify right side
    4,485.75x = 24,007,550.06
  5. Step 5: Solve for x
    x = 24,007,550.06/4,485.75
  6. Step 6: Final answer
    x = 5,351.96

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.