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Finding the Third Proportional to 6,285.25 and 13,005.25

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Solution

The third proportional to 6,285.25 and 13,005.25 is: 26,910.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.25 : 13,005.25 = 13,005.25 : x
  2. Step 2: Convert to fraction form
    6,285.25/13,005.25 = 13,005.25/x
  3. Step 3: Cross multiply
    6,285.25x = 13,005.25 × 13,005.25
  4. Step 4: Simplify right side
    6,285.25x = 169,136,527.56
  5. Step 5: Solve for x
    x = 169,136,527.56/6,285.25
  6. Step 6: Final answer
    x = 26,910.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.