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Finding the Third Proportional to 22,724 and 47,536

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Solution

The third proportional to 22,724 and 47,536 is: 99,439.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,724 : 47,536 = 47,536 : x
  2. Step 2: Convert to fraction form
    22,724/47,536 = 47,536/x
  3. Step 3: Cross multiply
    22,724x = 47,536 × 47,536
  4. Step 4: Simplify right side
    22,724x = 2,259,671,296
  5. Step 5: Solve for x
    x = 2,259,671,296/22,724
  6. Step 6: Final answer
    x = 99,439.86

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.