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Finding the Third Proportional to 894.23 and 1,937.34

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Solution

The third proportional to 894.23 and 1,937.34 is: 4,197.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.23 : 1,937.34 = 1,937.34 : x
  2. Step 2: Convert to fraction form
    894.23/1,937.34 = 1,937.34/x
  3. Step 3: Cross multiply
    894.23x = 1,937.34 × 1,937.34
  4. Step 4: Simplify right side
    894.23x = 3,753,300.81
  5. Step 5: Solve for x
    x = 3,753,300.81/894.23
  6. Step 6: Final answer
    x = 4,197.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.