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Finding the Third Proportional to 2,076.05 and 4,557.09

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Solution

The third proportional to 2,076.05 and 4,557.09 is: 10,003.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.05 : 4,557.09 = 4,557.09 : x
  2. Step 2: Convert to fraction form
    2,076.05/4,557.09 = 4,557.09/x
  3. Step 3: Cross multiply
    2,076.05x = 4,557.09 × 4,557.09
  4. Step 4: Simplify right side
    2,076.05x = 20,767,103.45
  5. Step 5: Solve for x
    x = 20,767,103.45/2,076.05
  6. Step 6: Final answer
    x = 10,003.20

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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.