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Finding the Third Proportional to 21,828 and 46,636

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Solution

The third proportional to 21,828 and 46,636 is: 99,638.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,828 : 46,636 = 46,636 : x
  2. Step 2: Convert to fraction form
    21,828/46,636 = 46,636/x
  3. Step 3: Cross multiply
    21,828x = 46,636 × 46,636
  4. Step 4: Simplify right side
    21,828x = 2,174,916,496
  5. Step 5: Solve for x
    x = 2,174,916,496/21,828
  6. Step 6: Final answer
    x = 99,638.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.