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Finding the Third Proportional to 1,951.88 and 2,930.34

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Solution

The third proportional to 1,951.88 and 2,930.34 is: 4,399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.88 : 2,930.34 = 2,930.34 : x
  2. Step 2: Convert to fraction form
    1,951.88/2,930.34 = 2,930.34/x
  3. Step 3: Cross multiply
    1,951.88x = 2,930.34 × 2,930.34
  4. Step 4: Simplify right side
    1,951.88x = 8,586,914.49
  5. Step 5: Solve for x
    x = 8,586,914.49/1,951.88
  6. Step 6: Final answer
    x = 4,399.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.