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Finding the Third Proportional to 8,285.25 and 12,800.25

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Solution

The third proportional to 8,285.25 and 12,800.25 is: 19,775.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.25 : 12,800.25 = 12,800.25 : x
  2. Step 2: Convert to fraction form
    8,285.25/12,800.25 = 12,800.25/x
  3. Step 3: Cross multiply
    8,285.25x = 12,800.25 × 12,800.25
  4. Step 4: Simplify right side
    8,285.25x = 163,846,400.06
  5. Step 5: Solve for x
    x = 163,846,400.06/8,285.25
  6. Step 6: Final answer
    x = 19,775.67

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.