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Finding the Third Proportional to 6,164.75 and 8,722.94

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Solution

The third proportional to 6,164.75 and 8,722.94 is: 12,342.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.75 : 8,722.94 = 8,722.94 : x
  2. Step 2: Convert to fraction form
    6,164.75/8,722.94 = 8,722.94/x
  3. Step 3: Cross multiply
    6,164.75x = 8,722.94 × 8,722.94
  4. Step 4: Simplify right side
    6,164.75x = 76,089,638.63
  5. Step 5: Solve for x
    x = 76,089,638.63/6,164.75
  6. Step 6: Final answer
    x = 12,342.70

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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.