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Finding the Third Proportional to 8,724 and 20,564

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Solution

The third proportional to 8,724 and 20,564 is: 48,472.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,724 : 20,564 = 20,564 : x
  2. Step 2: Convert to fraction form
    8,724/20,564 = 20,564/x
  3. Step 3: Cross multiply
    8,724x = 20,564 × 20,564
  4. Step 4: Simplify right side
    8,724x = 422,878,096
  5. Step 5: Solve for x
    x = 422,878,096/8,724
  6. Step 6: Final answer
    x = 48,472.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.