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Finding the Third Proportional to 22,200 and 47,664

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Solution

The third proportional to 22,200 and 47,664 is: 102,335.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,200 : 47,664 = 47,664 : x
  2. Step 2: Convert to fraction form
    22,200/47,664 = 47,664/x
  3. Step 3: Cross multiply
    22,200x = 47,664 × 47,664
  4. Step 4: Simplify right side
    22,200x = 2,271,856,896
  5. Step 5: Solve for x
    x = 2,271,856,896/22,200
  6. Step 6: Final answer
    x = 102,335.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.