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Finding the Third Proportional to 4,733.44 and 7,165.69

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Solution

The third proportional to 4,733.44 and 7,165.69 is: 10,847.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.44 : 7,165.69 = 7,165.69 : x
  2. Step 2: Convert to fraction form
    4,733.44/7,165.69 = 7,165.69/x
  3. Step 3: Cross multiply
    4,733.44x = 7,165.69 × 7,165.69
  4. Step 4: Simplify right side
    4,733.44x = 51,347,077.35
  5. Step 5: Solve for x
    x = 51,347,077.35/4,733.44
  6. Step 6: Final answer
    x = 10,847.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.