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Finding the Third Proportional to 3,055.22 and 4,581.98

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Solution

The third proportional to 3,055.22 and 4,581.98 is: 6,871.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.22 : 4,581.98 = 4,581.98 : x
  2. Step 2: Convert to fraction form
    3,055.22/4,581.98 = 4,581.98/x
  3. Step 3: Cross multiply
    3,055.22x = 4,581.98 × 4,581.98
  4. Step 4: Simplify right side
    3,055.22x = 20,994,580.81
  5. Step 5: Solve for x
    x = 20,994,580.81/3,055.22
  6. Step 6: Final answer
    x = 6,871.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.