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Finding the Third Proportional to 5,486.06 and 11,849.63

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Solution

The third proportional to 5,486.06 and 11,849.63 is: 25,594.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.06 : 11,849.63 = 11,849.63 : x
  2. Step 2: Convert to fraction form
    5,486.06/11,849.63 = 11,849.63/x
  3. Step 3: Cross multiply
    5,486.06x = 11,849.63 × 11,849.63
  4. Step 4: Simplify right side
    5,486.06x = 140,413,612.64
  5. Step 5: Solve for x
    x = 140,413,612.64/5,486.06
  6. Step 6: Final answer
    x = 25,594.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.