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Finding the Third Proportional to 6,163.88 and 12,622.50

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Solution

The third proportional to 6,163.88 and 12,622.50 is: 25,848.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.88 : 12,622.50 = 12,622.50 : x
  2. Step 2: Convert to fraction form
    6,163.88/12,622.50 = 12,622.50/x
  3. Step 3: Cross multiply
    6,163.88x = 12,622.50 × 12,622.50
  4. Step 4: Simplify right side
    6,163.88x = 159,327,506.25
  5. Step 5: Solve for x
    x = 159,327,506.25/6,163.88
  6. Step 6: Final answer
    x = 25,848.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.