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Finding the Third Proportional to 10,383.19 and 16,222.78

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Solution

The third proportional to 10,383.19 and 16,222.78 is: 25,346.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.19 : 16,222.78 = 16,222.78 : x
  2. Step 2: Convert to fraction form
    10,383.19/16,222.78 = 16,222.78/x
  3. Step 3: Cross multiply
    10,383.19x = 16,222.78 × 16,222.78
  4. Step 4: Simplify right side
    10,383.19x = 263,178,631.49
  5. Step 5: Solve for x
    x = 263,178,631.49/10,383.19
  6. Step 6: Final answer
    x = 25,346.61

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.