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Finding the Third Proportional to 12,732.75 and 19,797.75

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Solution

The third proportional to 12,732.75 and 19,797.75 is: 30,782.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,732.75 : 19,797.75 = 19,797.75 : x
  2. Step 2: Convert to fraction form
    12,732.75/19,797.75 = 19,797.75/x
  3. Step 3: Cross multiply
    12,732.75x = 19,797.75 × 19,797.75
  4. Step 4: Simplify right side
    12,732.75x = 391,950,905.06
  5. Step 5: Solve for x
    x = 391,950,905.06/12,732.75
  6. Step 6: Final answer
    x = 30,782.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.