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Finding the Third Proportional to 942.75 and 1,771.31

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Solution

The third proportional to 942.75 and 1,771.31 is: 3,328.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.75 : 1,771.31 = 1,771.31 : x
  2. Step 2: Convert to fraction form
    942.75/1,771.31 = 1,771.31/x
  3. Step 3: Cross multiply
    942.75x = 1,771.31 × 1,771.31
  4. Step 4: Simplify right side
    942.75x = 3,137,547.97
  5. Step 5: Solve for x
    x = 3,137,547.97/942.75
  6. Step 6: Final answer
    x = 3,328.08

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.