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Finding the Third Proportional to 1,954 and 4,214.75

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Solution

The third proportional to 1,954 and 4,214.75 is: 9,091.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954 : 4,214.75 = 4,214.75 : x
  2. Step 2: Convert to fraction form
    1,954/4,214.75 = 4,214.75/x
  3. Step 3: Cross multiply
    1,954x = 4,214.75 × 4,214.75
  4. Step 4: Simplify right side
    1,954x = 17,764,117.56
  5. Step 5: Solve for x
    x = 17,764,117.56/1,954
  6. Step 6: Final answer
    x = 9,091.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.