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Finding the Third Proportional to 6,076.76 and 13,190.91

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Solution

The third proportional to 6,076.76 and 13,190.91 is: 28,633.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.76 : 13,190.91 = 13,190.91 : x
  2. Step 2: Convert to fraction form
    6,076.76/13,190.91 = 13,190.91/x
  3. Step 3: Cross multiply
    6,076.76x = 13,190.91 × 13,190.91
  4. Step 4: Simplify right side
    6,076.76x = 174,000,007.70
  5. Step 5: Solve for x
    x = 174,000,007.70/6,076.76
  6. Step 6: Final answer
    x = 28,633.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.