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Finding the Third Proportional to 17,265 and 37,811

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Solution

The third proportional to 17,265 and 37,811 is: 82,807.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,265 : 37,811 = 37,811 : x
  2. Step 2: Convert to fraction form
    17,265/37,811 = 37,811/x
  3. Step 3: Cross multiply
    17,265x = 37,811 × 37,811
  4. Step 4: Simplify right side
    17,265x = 1,429,671,721
  5. Step 5: Solve for x
    x = 1,429,671,721/17,265
  6. Step 6: Final answer
    x = 82,807.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.