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Finding the Third Proportional to 19,256 and 39,964

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Solution

The third proportional to 19,256 and 39,964 is: 82,941.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,256 : 39,964 = 39,964 : x
  2. Step 2: Convert to fraction form
    19,256/39,964 = 39,964/x
  3. Step 3: Cross multiply
    19,256x = 39,964 × 39,964
  4. Step 4: Simplify right side
    19,256x = 1,597,121,296
  5. Step 5: Solve for x
    x = 1,597,121,296/19,256
  6. Step 6: Final answer
    x = 82,941.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.