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Finding the Third Proportional to 2,775.75 and 5,910.94

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Solution

The third proportional to 2,775.75 and 5,910.94 is: 12,587.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.75 : 5,910.94 = 5,910.94 : x
  2. Step 2: Convert to fraction form
    2,775.75/5,910.94 = 5,910.94/x
  3. Step 3: Cross multiply
    2,775.75x = 5,910.94 × 5,910.94
  4. Step 4: Simplify right side
    2,775.75x = 34,939,182.13
  5. Step 5: Solve for x
    x = 34,939,182.13/2,775.75
  6. Step 6: Final answer
    x = 12,587.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.