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Finding the Third Proportional to 21,636 and 46,727

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Solution

The third proportional to 21,636 and 46,727 is: 100,915.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,636 : 46,727 = 46,727 : x
  2. Step 2: Convert to fraction form
    21,636/46,727 = 46,727/x
  3. Step 3: Cross multiply
    21,636x = 46,727 × 46,727
  4. Step 4: Simplify right side
    21,636x = 2,183,412,529
  5. Step 5: Solve for x
    x = 2,183,412,529/21,636
  6. Step 6: Final answer
    x = 100,915.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.