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Finding the Third Proportional to 21,624 and 47,505

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Solution

The third proportional to 21,624 and 47,505 is: 104,362.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,624 : 47,505 = 47,505 : x
  2. Step 2: Convert to fraction form
    21,624/47,505 = 47,505/x
  3. Step 3: Cross multiply
    21,624x = 47,505 × 47,505
  4. Step 4: Simplify right side
    21,624x = 2,256,725,025
  5. Step 5: Solve for x
    x = 2,256,725,025/21,624
  6. Step 6: Final answer
    x = 104,362.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.