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Finding the Third Proportional to 967.75 and 1,431.25

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Solution

The third proportional to 967.75 and 1,431.25 is: 2,116.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.75 : 1,431.25 = 1,431.25 : x
  2. Step 2: Convert to fraction form
    967.75/1,431.25 = 1,431.25/x
  3. Step 3: Cross multiply
    967.75x = 1,431.25 × 1,431.25
  4. Step 4: Simplify right side
    967.75x = 2,048,476.56
  5. Step 5: Solve for x
    x = 2,048,476.56/967.75
  6. Step 6: Final answer
    x = 2,116.74

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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.