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Finding the Third Proportional to 6,976.50 and 15,105

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Solution

The third proportional to 6,976.50 and 15,105 is: 32,704.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.50 : 15,105 = 15,105 : x
  2. Step 2: Convert to fraction form
    6,976.50/15,105 = 15,105/x
  3. Step 3: Cross multiply
    6,976.50x = 15,105 × 15,105
  4. Step 4: Simplify right side
    6,976.50x = 228,161,025
  5. Step 5: Solve for x
    x = 228,161,025/6,976.50
  6. Step 6: Final answer
    x = 32,704.22

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Why These Related Problems?

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