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Finding the Third Proportional to 8,376 and 16,540.50

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Solution

The third proportional to 8,376 and 16,540.50 is: 32,663.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,376 : 16,540.50 = 16,540.50 : x
  2. Step 2: Convert to fraction form
    8,376/16,540.50 = 16,540.50/x
  3. Step 3: Cross multiply
    8,376x = 16,540.50 × 16,540.50
  4. Step 4: Simplify right side
    8,376x = 273,588,140.25
  5. Step 5: Solve for x
    x = 273,588,140.25/8,376
  6. Step 6: Final answer
    x = 32,663.34

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.