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Finding the Third Proportional to 2,555.79 and 5,503.08

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Solution

The third proportional to 2,555.79 and 5,503.08 is: 11,849.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555.79 : 5,503.08 = 5,503.08 : x
  2. Step 2: Convert to fraction form
    2,555.79/5,503.08 = 5,503.08/x
  3. Step 3: Cross multiply
    2,555.79x = 5,503.08 × 5,503.08
  4. Step 4: Simplify right side
    2,555.79x = 30,283,868.85
  5. Step 5: Solve for x
    x = 30,283,868.85/2,555.79
  6. Step 6: Final answer
    x = 11,849.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.