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Finding the Third Proportional to 2,107.27 and 4,620.80

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Solution

The third proportional to 2,107.27 and 4,620.80 is: 10,132.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.27 : 4,620.80 = 4,620.80 : x
  2. Step 2: Convert to fraction form
    2,107.27/4,620.80 = 4,620.80/x
  3. Step 3: Cross multiply
    2,107.27x = 4,620.80 × 4,620.80
  4. Step 4: Simplify right side
    2,107.27x = 21,351,763.76
  5. Step 5: Solve for x
    x = 21,351,763.76/2,107.27
  6. Step 6: Final answer
    x = 10,132.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.