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Finding the Third Proportional to 2,485.27 and 5,314.36

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Solution

The third proportional to 2,485.27 and 5,314.36 is: 11,363.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.27 : 5,314.36 = 5,314.36 : x
  2. Step 2: Convert to fraction form
    2,485.27/5,314.36 = 5,314.36/x
  3. Step 3: Cross multiply
    2,485.27x = 5,314.36 × 5,314.36
  4. Step 4: Simplify right side
    2,485.27x = 28,242,415.57
  5. Step 5: Solve for x
    x = 28,242,415.57/2,485.27
  6. Step 6: Final answer
    x = 11,363.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.