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Finding the Third Proportional to 6,780.25 and 14,289.50

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Solution

The third proportional to 6,780.25 and 14,289.50 is: 30,115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.25 : 14,289.50 = 14,289.50 : x
  2. Step 2: Convert to fraction form
    6,780.25/14,289.50 = 14,289.50/x
  3. Step 3: Cross multiply
    6,780.25x = 14,289.50 × 14,289.50
  4. Step 4: Simplify right side
    6,780.25x = 204,189,810.25
  5. Step 5: Solve for x
    x = 204,189,810.25/6,780.25
  6. Step 6: Final answer
    x = 30,115.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.