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Finding the Third Proportional to 2,461.22 and 3,896.86

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Solution

The third proportional to 2,461.22 and 3,896.86 is: 6,169.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.22 : 3,896.86 = 3,896.86 : x
  2. Step 2: Convert to fraction form
    2,461.22/3,896.86 = 3,896.86/x
  3. Step 3: Cross multiply
    2,461.22x = 3,896.86 × 3,896.86
  4. Step 4: Simplify right side
    2,461.22x = 15,185,512.99
  5. Step 5: Solve for x
    x = 15,185,512.99/2,461.22
  6. Step 6: Final answer
    x = 6,169.92

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.