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Finding the Third Proportional to 17,664 and 38,784

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Solution

The third proportional to 17,664 and 38,784 is: 85,156.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,664 : 38,784 = 38,784 : x
  2. Step 2: Convert to fraction form
    17,664/38,784 = 38,784/x
  3. Step 3: Cross multiply
    17,664x = 38,784 × 38,784
  4. Step 4: Simplify right side
    17,664x = 1,504,198,656
  5. Step 5: Solve for x
    x = 1,504,198,656/17,664
  6. Step 6: Final answer
    x = 85,156.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.