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Finding the Third Proportional to 2,116 and 4,975

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Solution

The third proportional to 2,116 and 4,975 is: 11,696.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116 : 4,975 = 4,975 : x
  2. Step 2: Convert to fraction form
    2,116/4,975 = 4,975/x
  3. Step 3: Cross multiply
    2,116x = 4,975 × 4,975
  4. Step 4: Simplify right side
    2,116x = 24,750,625
  5. Step 5: Solve for x
    x = 24,750,625/2,116
  6. Step 6: Final answer
    x = 11,696.89

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.