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Finding the Third Proportional to 6,819.25 and 14,939.75

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Solution

The third proportional to 6,819.25 and 14,939.75 is: 32,730.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.25 : 14,939.75 = 14,939.75 : x
  2. Step 2: Convert to fraction form
    6,819.25/14,939.75 = 14,939.75/x
  3. Step 3: Cross multiply
    6,819.25x = 14,939.75 × 14,939.75
  4. Step 4: Simplify right side
    6,819.25x = 223,196,130.06
  5. Step 5: Solve for x
    x = 223,196,130.06/6,819.25
  6. Step 6: Final answer
    x = 32,730.30

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.