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Finding the Third Proportional to 1,946.75 and 4,166.75

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Solution

The third proportional to 1,946.75 and 4,166.75 is: 8,918.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.75 : 4,166.75 = 4,166.75 : x
  2. Step 2: Convert to fraction form
    1,946.75/4,166.75 = 4,166.75/x
  3. Step 3: Cross multiply
    1,946.75x = 4,166.75 × 4,166.75
  4. Step 4: Simplify right side
    1,946.75x = 17,361,805.56
  5. Step 5: Solve for x
    x = 17,361,805.56/1,946.75
  6. Step 6: Final answer
    x = 8,918.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.