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Finding the Third Proportional to 4,506.25 and 6,027.81

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Solution

The third proportional to 4,506.25 and 6,027.81 is: 8,063.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.25 : 6,027.81 = 6,027.81 : x
  2. Step 2: Convert to fraction form
    4,506.25/6,027.81 = 6,027.81/x
  3. Step 3: Cross multiply
    4,506.25x = 6,027.81 × 6,027.81
  4. Step 4: Simplify right side
    4,506.25x = 36,334,523.54
  5. Step 5: Solve for x
    x = 36,334,523.54/4,506.25
  6. Step 6: Final answer
    x = 8,063.14

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.