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Finding the Third Proportional to 3,999.94 and 6,055.03

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Solution

The third proportional to 3,999.94 and 6,055.03 is: 9,165.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.94 : 6,055.03 = 6,055.03 : x
  2. Step 2: Convert to fraction form
    3,999.94/6,055.03 = 6,055.03/x
  3. Step 3: Cross multiply
    3,999.94x = 6,055.03 × 6,055.03
  4. Step 4: Simplify right side
    3,999.94x = 36,663,403.44
  5. Step 5: Solve for x
    x = 36,663,403.44/3,999.94
  6. Step 6: Final answer
    x = 9,165.99

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1.5x scale

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.