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Finding the Third Proportional to 8,596 and 19,946

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Solution

The third proportional to 8,596 and 19,946 is: 46,282.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596 : 19,946 = 19,946 : x
  2. Step 2: Convert to fraction form
    8,596/19,946 = 19,946/x
  3. Step 3: Cross multiply
    8,596x = 19,946 × 19,946
  4. Step 4: Simplify right side
    8,596x = 397,842,916
  5. Step 5: Solve for x
    x = 397,842,916/8,596
  6. Step 6: Final answer
    x = 46,282.33

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.