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Finding the Third Proportional to 967.85 and 1,601.26

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Solution

The third proportional to 967.85 and 1,601.26 is: 2,649.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.85 : 1,601.26 = 1,601.26 : x
  2. Step 2: Convert to fraction form
    967.85/1,601.26 = 1,601.26/x
  3. Step 3: Cross multiply
    967.85x = 1,601.26 × 1,601.26
  4. Step 4: Simplify right side
    967.85x = 2,564,039.09
  5. Step 5: Solve for x
    x = 2,564,039.09/967.85
  6. Step 6: Final answer
    x = 2,649.21

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.