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Finding the Third Proportional to 2,486.00 and 5,369.26

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Solution

The third proportional to 2,486.00 and 5,369.26 is: 11,596.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.00 : 5,369.26 = 5,369.26 : x
  2. Step 2: Convert to fraction form
    2,486.00/5,369.26 = 5,369.26/x
  3. Step 3: Cross multiply
    2,486.00x = 5,369.26 × 5,369.26
  4. Step 4: Simplify right side
    2,486.00x = 28,828,908.48
  5. Step 5: Solve for x
    x = 28,828,908.48/2,486.00
  6. Step 6: Final answer
    x = 11,596.49

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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.