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Finding the Third Proportional to 2,511 and 5,407.07

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Solution

The third proportional to 2,511 and 5,407.07 is: 11,643.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511 : 5,407.07 = 5,407.07 : x
  2. Step 2: Convert to fraction form
    2,511/5,407.07 = 5,407.07/x
  3. Step 3: Cross multiply
    2,511x = 5,407.07 × 5,407.07
  4. Step 4: Simplify right side
    2,511x = 29,236,367.12
  5. Step 5: Solve for x
    x = 29,236,367.12/2,511
  6. Step 6: Final answer
    x = 11,643.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.