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Finding the Third Proportional to 8,253.56 and 12,200.63

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Solution

The third proportional to 8,253.56 and 12,200.63 is: 18,035.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253.56 : 12,200.63 = 12,200.63 : x
  2. Step 2: Convert to fraction form
    8,253.56/12,200.63 = 12,200.63/x
  3. Step 3: Cross multiply
    8,253.56x = 12,200.63 × 12,200.63
  4. Step 4: Simplify right side
    8,253.56x = 148,855,250.39
  5. Step 5: Solve for x
    x = 148,855,250.39/8,253.56
  6. Step 6: Final answer
    x = 18,035.27

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.