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Finding the Third Proportional to 7,694 and 16,664

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Solution

The third proportional to 7,694 and 16,664 is: 36,091.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694 : 16,664 = 16,664 : x
  2. Step 2: Convert to fraction form
    7,694/16,664 = 16,664/x
  3. Step 3: Cross multiply
    7,694x = 16,664 × 16,664
  4. Step 4: Simplify right side
    7,694x = 277,688,896
  5. Step 5: Solve for x
    x = 277,688,896/7,694
  6. Step 6: Final answer
    x = 36,091.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.