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Finding the Third Proportional to 17,316 and 18,936

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Solution

The third proportional to 17,316 and 18,936 is: 20,707.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,316 : 18,936 = 18,936 : x
  2. Step 2: Convert to fraction form
    17,316/18,936 = 18,936/x
  3. Step 3: Cross multiply
    17,316x = 18,936 × 18,936
  4. Step 4: Simplify right side
    17,316x = 358,572,096
  5. Step 5: Solve for x
    x = 358,572,096/17,316
  6. Step 6: Final answer
    x = 20,707.56

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.