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Finding the Third Proportional to 5,494.08 and 8,757.49

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Solution

The third proportional to 5,494.08 and 8,757.49 is: 13,959.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.08 : 8,757.49 = 8,757.49 : x
  2. Step 2: Convert to fraction form
    5,494.08/8,757.49 = 8,757.49/x
  3. Step 3: Cross multiply
    5,494.08x = 8,757.49 × 8,757.49
  4. Step 4: Simplify right side
    5,494.08x = 76,693,669.41
  5. Step 5: Solve for x
    x = 76,693,669.41/5,494.08
  6. Step 6: Final answer
    x = 13,959.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.