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Finding the Third Proportional to 8,056.50 and 12,132.75

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Solution

The third proportional to 8,056.50 and 12,132.75 is: 18,271.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,056.50 : 12,132.75 = 12,132.75 : x
  2. Step 2: Convert to fraction form
    8,056.50/12,132.75 = 12,132.75/x
  3. Step 3: Cross multiply
    8,056.50x = 12,132.75 × 12,132.75
  4. Step 4: Simplify right side
    8,056.50x = 147,203,622.56
  5. Step 5: Solve for x
    x = 147,203,622.56/8,056.50
  6. Step 6: Final answer
    x = 18,271.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.