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Finding the Third Proportional to 21,828 and 47,654

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Solution

The third proportional to 21,828 and 47,654 is: 104,036.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,828 : 47,654 = 47,654 : x
  2. Step 2: Convert to fraction form
    21,828/47,654 = 47,654/x
  3. Step 3: Cross multiply
    21,828x = 47,654 × 47,654
  4. Step 4: Simplify right side
    21,828x = 2,270,903,716
  5. Step 5: Solve for x
    x = 2,270,903,716/21,828
  6. Step 6: Final answer
    x = 104,036.27

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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.