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Finding the Third Proportional to 8,133 and 12,880.50

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Solution

The third proportional to 8,133 and 12,880.50 is: 20,399.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133 : 12,880.50 = 12,880.50 : x
  2. Step 2: Convert to fraction form
    8,133/12,880.50 = 12,880.50/x
  3. Step 3: Cross multiply
    8,133x = 12,880.50 × 12,880.50
  4. Step 4: Simplify right side
    8,133x = 165,907,280.25
  5. Step 5: Solve for x
    x = 165,907,280.25/8,133
  6. Step 6: Final answer
    x = 20,399.27

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.