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Finding the Third Proportional to 967.36 and 1,428.19

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Solution

The third proportional to 967.36 and 1,428.19 is: 2,108.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.36 : 1,428.19 = 1,428.19 : x
  2. Step 2: Convert to fraction form
    967.36/1,428.19 = 1,428.19/x
  3. Step 3: Cross multiply
    967.36x = 1,428.19 × 1,428.19
  4. Step 4: Simplify right side
    967.36x = 2,039,719.54
  5. Step 5: Solve for x
    x = 2,039,719.54/967.36
  6. Step 6: Final answer
    x = 2,108.54

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.