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Finding the Third Proportional to 2,485.97 and 5,411.39

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Solution

The third proportional to 2,485.97 and 5,411.39 is: 11,779.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.97 : 5,411.39 = 5,411.39 : x
  2. Step 2: Convert to fraction form
    2,485.97/5,411.39 = 5,411.39/x
  3. Step 3: Cross multiply
    2,485.97x = 5,411.39 × 5,411.39
  4. Step 4: Simplify right side
    2,485.97x = 29,283,148.50
  5. Step 5: Solve for x
    x = 29,283,148.50/2,485.97
  6. Step 6: Final answer
    x = 11,779.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.