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Finding the Third Proportional to 889.73 and 1,957.92

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Solution

The third proportional to 889.73 and 1,957.92 is: 4,308.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.73 : 1,957.92 = 1,957.92 : x
  2. Step 2: Convert to fraction form
    889.73/1,957.92 = 1,957.92/x
  3. Step 3: Cross multiply
    889.73x = 1,957.92 × 1,957.92
  4. Step 4: Simplify right side
    889.73x = 3,833,458.07
  5. Step 5: Solve for x
    x = 3,833,458.07/889.73
  6. Step 6: Final answer
    x = 4,308.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.