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Finding the Third Proportional to 6,289.13 and 12,982.88

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Solution

The third proportional to 6,289.13 and 12,982.88 is: 26,801.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.13 : 12,982.88 = 12,982.88 : x
  2. Step 2: Convert to fraction form
    6,289.13/12,982.88 = 12,982.88/x
  3. Step 3: Cross multiply
    6,289.13x = 12,982.88 × 12,982.88
  4. Step 4: Simplify right side
    6,289.13x = 168,555,043.27
  5. Step 5: Solve for x
    x = 168,555,043.27/6,289.13
  6. Step 6: Final answer
    x = 26,801.03

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.