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Finding the Third Proportional to 17,196 and 18,972

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Solution

The third proportional to 17,196 and 18,972 is: 20,931.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,196 : 18,972 = 18,972 : x
  2. Step 2: Convert to fraction form
    17,196/18,972 = 18,972/x
  3. Step 3: Cross multiply
    17,196x = 18,972 × 18,972
  4. Step 4: Simplify right side
    17,196x = 359,936,784
  5. Step 5: Solve for x
    x = 359,936,784/17,196
  6. Step 6: Final answer
    x = 20,931.42

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.