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Finding the Third Proportional to 12,732.75 and 25,809.75

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Solution

The third proportional to 12,732.75 and 25,809.75 is: 52,317.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,732.75 : 25,809.75 = 25,809.75 : x
  2. Step 2: Convert to fraction form
    12,732.75/25,809.75 = 25,809.75/x
  3. Step 3: Cross multiply
    12,732.75x = 25,809.75 × 25,809.75
  4. Step 4: Simplify right side
    12,732.75x = 666,143,195.06
  5. Step 5: Solve for x
    x = 666,143,195.06/12,732.75
  6. Step 6: Final answer
    x = 52,317.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.