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Finding the Third Proportional to 2,917 and 6,193.75

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Solution

The third proportional to 2,917 and 6,193.75 is: 13,151.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917 : 6,193.75 = 6,193.75 : x
  2. Step 2: Convert to fraction form
    2,917/6,193.75 = 6,193.75/x
  3. Step 3: Cross multiply
    2,917x = 6,193.75 × 6,193.75
  4. Step 4: Simplify right side
    2,917x = 38,362,539.06
  5. Step 5: Solve for x
    x = 38,362,539.06/2,917
  6. Step 6: Final answer
    x = 13,151.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.