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Finding the Third Proportional to 6,179.63 and 8,704.13

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Solution

The third proportional to 6,179.63 and 8,704.13 is: 12,259.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,179.63 : 8,704.13 = 8,704.13 : x
  2. Step 2: Convert to fraction form
    6,179.63/8,704.13 = 8,704.13/x
  3. Step 3: Cross multiply
    6,179.63x = 8,704.13 × 8,704.13
  4. Step 4: Simplify right side
    6,179.63x = 75,761,792.02
  5. Step 5: Solve for x
    x = 75,761,792.02/6,179.63
  6. Step 6: Final answer
    x = 12,259.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.