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Finding the Third Proportional to 10,300.50 and 18,385.31

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Solution

The third proportional to 10,300.50 and 18,385.31 is: 32,815.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.50 : 18,385.31 = 18,385.31 : x
  2. Step 2: Convert to fraction form
    10,300.50/18,385.31 = 18,385.31/x
  3. Step 3: Cross multiply
    10,300.50x = 18,385.31 × 18,385.31
  4. Step 4: Simplify right side
    10,300.50x = 338,019,715.72
  5. Step 5: Solve for x
    x = 338,019,715.72/10,300.50
  6. Step 6: Final answer
    x = 32,815.86

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.