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Finding the Third Proportional to 6,004.76 and 9,257.73

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Solution

The third proportional to 6,004.76 and 9,257.73 is: 14,272.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,004.76 : 9,257.73 = 9,257.73 : x
  2. Step 2: Convert to fraction form
    6,004.76/9,257.73 = 9,257.73/x
  3. Step 3: Cross multiply
    6,004.76x = 9,257.73 × 9,257.73
  4. Step 4: Simplify right side
    6,004.76x = 85,705,573.43
  5. Step 5: Solve for x
    x = 85,705,573.43/6,004.76
  6. Step 6: Final answer
    x = 14,272.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.