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Finding the Third Proportional to 3,209.63 and 4,773.94

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Solution

The third proportional to 3,209.63 and 4,773.94 is: 7,100.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.63 : 4,773.94 = 4,773.94 : x
  2. Step 2: Convert to fraction form
    3,209.63/4,773.94 = 4,773.94/x
  3. Step 3: Cross multiply
    3,209.63x = 4,773.94 × 4,773.94
  4. Step 4: Simplify right side
    3,209.63x = 22,790,479.25
  5. Step 5: Solve for x
    x = 22,790,479.25/3,209.63
  6. Step 6: Final answer
    x = 7,100.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.