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Finding the Third Proportional to 2,554.17 and 5,454.70

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Solution

The third proportional to 2,554.17 and 5,454.70 is: 11,649.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.17 : 5,454.70 = 5,454.70 : x
  2. Step 2: Convert to fraction form
    2,554.17/5,454.70 = 5,454.70/x
  3. Step 3: Cross multiply
    2,554.17x = 5,454.70 × 5,454.70
  4. Step 4: Simplify right side
    2,554.17x = 29,753,786.18
  5. Step 5: Solve for x
    x = 29,753,786.18/2,554.17
  6. Step 6: Final answer
    x = 11,649.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.