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Finding the Third Proportional to 5,222 and 9,664

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Solution

The third proportional to 5,222 and 9,664 is: 17,884.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222 : 9,664 = 9,664 : x
  2. Step 2: Convert to fraction form
    5,222/9,664 = 9,664/x
  3. Step 3: Cross multiply
    5,222x = 9,664 × 9,664
  4. Step 4: Simplify right side
    5,222x = 93,392,896
  5. Step 5: Solve for x
    x = 93,392,896/5,222
  6. Step 6: Final answer
    x = 17,884.51

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.