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Finding the Third Proportional to 8,011.50 and 12,796.50

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Solution

The third proportional to 8,011.50 and 12,796.50 is: 20,439.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,011.50 : 12,796.50 = 12,796.50 : x
  2. Step 2: Convert to fraction form
    8,011.50/12,796.50 = 12,796.50/x
  3. Step 3: Cross multiply
    8,011.50x = 12,796.50 × 12,796.50
  4. Step 4: Simplify right side
    8,011.50x = 163,750,412.25
  5. Step 5: Solve for x
    x = 163,750,412.25/8,011.50
  6. Step 6: Final answer
    x = 20,439.42

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.