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Finding the Third Proportional to 6,783.13 and 13,896.13

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Solution

The third proportional to 6,783.13 and 13,896.13 is: 28,468.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.13 : 13,896.13 = 13,896.13 : x
  2. Step 2: Convert to fraction form
    6,783.13/13,896.13 = 13,896.13/x
  3. Step 3: Cross multiply
    6,783.13x = 13,896.13 × 13,896.13
  4. Step 4: Simplify right side
    6,783.13x = 193,102,290.02
  5. Step 5: Solve for x
    x = 193,102,290.02/6,783.13
  6. Step 6: Final answer
    x = 28,468.04

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.