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Finding the Third Proportional to 22,500 and 47,664

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Solution

The third proportional to 22,500 and 47,664 is: 100,971.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,500 : 47,664 = 47,664 : x
  2. Step 2: Convert to fraction form
    22,500/47,664 = 47,664/x
  3. Step 3: Cross multiply
    22,500x = 47,664 × 47,664
  4. Step 4: Simplify right side
    22,500x = 2,271,856,896
  5. Step 5: Solve for x
    x = 2,271,856,896/22,500
  6. Step 6: Final answer
    x = 100,971.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.