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Finding the Third Proportional to 1,734.75 and 4,620.38

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Solution

The third proportional to 1,734.75 and 4,620.38 is: 12,306.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.75 : 4,620.38 = 4,620.38 : x
  2. Step 2: Convert to fraction form
    1,734.75/4,620.38 = 4,620.38/x
  3. Step 3: Cross multiply
    1,734.75x = 4,620.38 × 4,620.38
  4. Step 4: Simplify right side
    1,734.75x = 21,347,865.14
  5. Step 5: Solve for x
    x = 21,347,865.14/1,734.75
  6. Step 6: Final answer
    x = 12,306.02

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Why These Related Problems?

These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.