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Finding the Third Proportional to 3,179.63 and 4,863.94

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Solution

The third proportional to 3,179.63 and 4,863.94 is: 7,440.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.63 : 4,863.94 = 4,863.94 : x
  2. Step 2: Convert to fraction form
    3,179.63/4,863.94 = 4,863.94/x
  3. Step 3: Cross multiply
    3,179.63x = 4,863.94 × 4,863.94
  4. Step 4: Simplify right side
    3,179.63x = 23,657,888.00
  5. Step 5: Solve for x
    x = 23,657,888.00/3,179.63
  6. Step 6: Final answer
    x = 7,440.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.