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Finding the Third Proportional to 942.57 and 1,955.63

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Solution

The third proportional to 942.57 and 1,955.63 is: 4,057.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.57 : 1,955.63 = 1,955.63 : x
  2. Step 2: Convert to fraction form
    942.57/1,955.63 = 1,955.63/x
  3. Step 3: Cross multiply
    942.57x = 1,955.63 × 1,955.63
  4. Step 4: Simplify right side
    942.57x = 3,824,480.60
  5. Step 5: Solve for x
    x = 3,824,480.60/942.57
  6. Step 6: Final answer
    x = 4,057.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.