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Finding the Third Proportional to 16,780 and 39,190

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Solution

The third proportional to 16,780 and 39,190 is: 91,528.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,780 : 39,190 = 39,190 : x
  2. Step 2: Convert to fraction form
    16,780/39,190 = 39,190/x
  3. Step 3: Cross multiply
    16,780x = 39,190 × 39,190
  4. Step 4: Simplify right side
    16,780x = 1,535,856,100
  5. Step 5: Solve for x
    x = 1,535,856,100/16,780
  6. Step 6: Final answer
    x = 91,528.97

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.