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Finding the Third Proportional to 2,262.23 and 4,984.45

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Solution

The third proportional to 2,262.23 and 4,984.45 is: 10,982.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.23 : 4,984.45 = 4,984.45 : x
  2. Step 2: Convert to fraction form
    2,262.23/4,984.45 = 4,984.45/x
  3. Step 3: Cross multiply
    2,262.23x = 4,984.45 × 4,984.45
  4. Step 4: Simplify right side
    2,262.23x = 24,844,772.96
  5. Step 5: Solve for x
    x = 24,844,772.96/2,262.23
  6. Step 6: Final answer
    x = 10,982.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.