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Finding the Third Proportional to 8,696 and 18,943

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Solution

The third proportional to 8,696 and 18,943 is: 41,264.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696 : 18,943 = 18,943 : x
  2. Step 2: Convert to fraction form
    8,696/18,943 = 18,943/x
  3. Step 3: Cross multiply
    8,696x = 18,943 × 18,943
  4. Step 4: Simplify right side
    8,696x = 358,837,249
  5. Step 5: Solve for x
    x = 358,837,249/8,696
  6. Step 6: Final answer
    x = 41,264.63

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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.