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Finding the Third Proportional to 942.26 and 1,385.23

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Solution

The third proportional to 942.26 and 1,385.23 is: 2,036.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.26 : 1,385.23 = 1,385.23 : x
  2. Step 2: Convert to fraction form
    942.26/1,385.23 = 1,385.23/x
  3. Step 3: Cross multiply
    942.26x = 1,385.23 × 1,385.23
  4. Step 4: Simplify right side
    942.26x = 1,918,852.63
  5. Step 5: Solve for x
    x = 1,918,852.63/942.26
  6. Step 6: Final answer
    x = 2,036.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.