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Finding the Third Proportional to 5,953.50 and 12,105

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Solution

The third proportional to 5,953.50 and 12,105 is: 24,612.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.50 : 12,105 = 12,105 : x
  2. Step 2: Convert to fraction form
    5,953.50/12,105 = 12,105/x
  3. Step 3: Cross multiply
    5,953.50x = 12,105 × 12,105
  4. Step 4: Simplify right side
    5,953.50x = 146,531,025
  5. Step 5: Solve for x
    x = 146,531,025/5,953.50
  6. Step 6: Final answer
    x = 24,612.59

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.