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Finding the Third Proportional to 1,968 and 2,154

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Solution

The third proportional to 1,968 and 2,154 is: 2,357.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968 : 2,154 = 2,154 : x
  2. Step 2: Convert to fraction form
    1,968/2,154 = 2,154/x
  3. Step 3: Cross multiply
    1,968x = 2,154 × 2,154
  4. Step 4: Simplify right side
    1,968x = 4,639,716
  5. Step 5: Solve for x
    x = 4,639,716/1,968
  6. Step 6: Final answer
    x = 2,357.58

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.