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Finding the Third Proportional to 18,946 and 41,284

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Solution

The third proportional to 18,946 and 41,284 is: 89,959.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,946 : 41,284 = 41,284 : x
  2. Step 2: Convert to fraction form
    18,946/41,284 = 41,284/x
  3. Step 3: Cross multiply
    18,946x = 41,284 × 41,284
  4. Step 4: Simplify right side
    18,946x = 1,704,368,656
  5. Step 5: Solve for x
    x = 1,704,368,656/18,946
  6. Step 6: Final answer
    x = 89,959.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.