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Finding the Third Proportional to 16,960 and 39,094

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Solution

The third proportional to 16,960 and 39,094 is: 90,114.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,960 : 39,094 = 39,094 : x
  2. Step 2: Convert to fraction form
    16,960/39,094 = 39,094/x
  3. Step 3: Cross multiply
    16,960x = 39,094 × 39,094
  4. Step 4: Simplify right side
    16,960x = 1,528,340,836
  5. Step 5: Solve for x
    x = 1,528,340,836/16,960
  6. Step 6: Final answer
    x = 90,114.44

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.