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Finding the Third Proportional to 10,731.94 and 16,416.94

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Solution

The third proportional to 10,731.94 and 16,416.94 is: 25,113.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,731.94 : 16,416.94 = 16,416.94 : x
  2. Step 2: Convert to fraction form
    10,731.94/16,416.94 = 16,416.94/x
  3. Step 3: Cross multiply
    10,731.94x = 16,416.94 × 16,416.94
  4. Step 4: Simplify right side
    10,731.94x = 269,515,836.88
  5. Step 5: Solve for x
    x = 269,515,836.88/10,731.94
  6. Step 6: Final answer
    x = 25,113.44

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Why These Related Problems?

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