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Finding the Third Proportional to 10,200.94 and 15,604.31

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Solution

The third proportional to 10,200.94 and 15,604.31 is: 23,869.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.94 : 15,604.31 = 15,604.31 : x
  2. Step 2: Convert to fraction form
    10,200.94/15,604.31 = 15,604.31/x
  3. Step 3: Cross multiply
    10,200.94x = 15,604.31 × 15,604.31
  4. Step 4: Simplify right side
    10,200.94x = 243,494,568.60
  5. Step 5: Solve for x
    x = 243,494,568.60/10,200.94
  6. Step 6: Final answer
    x = 23,869.82

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.