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Finding the Third Proportional to 2,438.54 and 4,982.45

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Solution

The third proportional to 2,438.54 and 4,982.45 is: 10,180.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.54 : 4,982.45 = 4,982.45 : x
  2. Step 2: Convert to fraction form
    2,438.54/4,982.45 = 4,982.45/x
  3. Step 3: Cross multiply
    2,438.54x = 4,982.45 × 4,982.45
  4. Step 4: Simplify right side
    2,438.54x = 24,824,800.22
  5. Step 5: Solve for x
    x = 24,824,800.22/2,438.54
  6. Step 6: Final answer
    x = 10,180.18

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.