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Finding the Third Proportional to 1,196 and 1,954

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Solution

The third proportional to 1,196 and 1,954 is: 3,192.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196 : 1,954 = 1,954 : x
  2. Step 2: Convert to fraction form
    1,196/1,954 = 1,954/x
  3. Step 3: Cross multiply
    1,196x = 1,954 × 1,954
  4. Step 4: Simplify right side
    1,196x = 3,818,116
  5. Step 5: Solve for x
    x = 3,818,116/1,196
  6. Step 6: Final answer
    x = 3,192.40

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.