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

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Solution

The third proportional to 8,564 and 20,564 is: 49,378.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564 : 20,564 = 20,564 : x
  2. Step 2: Convert to fraction form
    8,564/20,564 = 20,564/x
  3. Step 3: Cross multiply
    8,564x = 20,564 × 20,564
  4. Step 4: Simplify right side
    8,564x = 422,878,096
  5. Step 5: Solve for x
    x = 422,878,096/8,564
  6. Step 6: Final answer
    x = 49,378.57

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.