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Finding the Third Proportional to 945.50 and 2,012

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Solution

The third proportional to 945.50 and 2,012 is: 4,281.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.50 : 2,012 = 2,012 : x
  2. Step 2: Convert to fraction form
    945.50/2,012 = 2,012/x
  3. Step 3: Cross multiply
    945.50x = 2,012 × 2,012
  4. Step 4: Simplify right side
    945.50x = 4,048,144
  5. Step 5: Solve for x
    x = 4,048,144/945.50
  6. Step 6: Final answer
    x = 4,281.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.