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Finding the Third Proportional to 6,780.75 and 16,329.75

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Solution

The third proportional to 6,780.75 and 16,329.75 is: 39,326.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.75 : 16,329.75 = 16,329.75 : x
  2. Step 2: Convert to fraction form
    6,780.75/16,329.75 = 16,329.75/x
  3. Step 3: Cross multiply
    6,780.75x = 16,329.75 × 16,329.75
  4. Step 4: Simplify right side
    6,780.75x = 266,660,735.06
  5. Step 5: Solve for x
    x = 266,660,735.06/6,780.75
  6. Step 6: Final answer
    x = 39,326.14

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.