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Finding the Third Proportional to 829.13 and 1,951.31

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Solution

The third proportional to 829.13 and 1,951.31 is: 4,592.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.13 : 1,951.31 = 1,951.31 : x
  2. Step 2: Convert to fraction form
    829.13/1,951.31 = 1,951.31/x
  3. Step 3: Cross multiply
    829.13x = 1,951.31 × 1,951.31
  4. Step 4: Simplify right side
    829.13x = 3,807,620.47
  5. Step 5: Solve for x
    x = 3,807,620.47/829.13
  6. Step 6: Final answer
    x = 4,592.34

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.