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Finding the Third Proportional to 2,511.63 and 5,464.65

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Solution

The third proportional to 2,511.63 and 5,464.65 is: 11,889.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.63 : 5,464.65 = 5,464.65 : x
  2. Step 2: Convert to fraction form
    2,511.63/5,464.65 = 5,464.65/x
  3. Step 3: Cross multiply
    2,511.63x = 5,464.65 × 5,464.65
  4. Step 4: Simplify right side
    2,511.63x = 29,862,425.24
  5. Step 5: Solve for x
    x = 29,862,425.24/2,511.63
  6. Step 6: Final answer
    x = 11,889.65

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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.