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Finding the Third Proportional to 8,158.22 and 12,206.95

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Solution

The third proportional to 8,158.22 and 12,206.95 is: 18,264.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158.22 : 12,206.95 = 12,206.95 : x
  2. Step 2: Convert to fraction form
    8,158.22/12,206.95 = 12,206.95/x
  3. Step 3: Cross multiply
    8,158.22x = 12,206.95 × 12,206.95
  4. Step 4: Simplify right side
    8,158.22x = 149,009,704.60
  5. Step 5: Solve for x
    x = 149,009,704.60/8,158.22
  6. Step 6: Final answer
    x = 18,264.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.