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Finding the Third Proportional to 941.50 and 1,970.75

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Solution

The third proportional to 941.50 and 1,970.75 is: 4,125.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.50 : 1,970.75 = 1,970.75 : x
  2. Step 2: Convert to fraction form
    941.50/1,970.75 = 1,970.75/x
  3. Step 3: Cross multiply
    941.50x = 1,970.75 × 1,970.75
  4. Step 4: Simplify right side
    941.50x = 3,883,855.56
  5. Step 5: Solve for x
    x = 3,883,855.56/941.50
  6. Step 6: Final answer
    x = 4,125.18

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.