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Finding the Third Proportional to 9,564 and 20,502

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Solution

The third proportional to 9,564 and 20,502 is: 43,949.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564 : 20,502 = 20,502 : x
  2. Step 2: Convert to fraction form
    9,564/20,502 = 20,502/x
  3. Step 3: Cross multiply
    9,564x = 20,502 × 20,502
  4. Step 4: Simplify right side
    9,564x = 420,332,004
  5. Step 5: Solve for x
    x = 420,332,004/9,564
  6. Step 6: Final answer
    x = 43,949.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.