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Finding the Third Proportional to 2,511.63 and 5,484.59

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Solution

The third proportional to 2,511.63 and 5,484.59 is: 11,976.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.63 : 5,484.59 = 5,484.59 : x
  2. Step 2: Convert to fraction form
    2,511.63/5,484.59 = 5,484.59/x
  3. Step 3: Cross multiply
    2,511.63x = 5,484.59 × 5,484.59
  4. Step 4: Simplify right side
    2,511.63x = 30,080,682.91
  5. Step 5: Solve for x
    x = 30,080,682.91/2,511.63
  6. Step 6: Final answer
    x = 11,976.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.