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Finding the Third Proportional to 18,796 and 41,312

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Solution

The third proportional to 18,796 and 41,312 is: 90,800.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,796 : 41,312 = 41,312 : x
  2. Step 2: Convert to fraction form
    18,796/41,312 = 41,312/x
  3. Step 3: Cross multiply
    18,796x = 41,312 × 41,312
  4. Step 4: Simplify right side
    18,796x = 1,706,681,344
  5. Step 5: Solve for x
    x = 1,706,681,344/18,796
  6. Step 6: Final answer
    x = 90,800.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.