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Finding the Third Proportional to 13,416 and 20,164

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Solution

The third proportional to 13,416 and 20,164 is: 30,306.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416 : 20,164 = 20,164 : x
  2. Step 2: Convert to fraction form
    13,416/20,164 = 20,164/x
  3. Step 3: Cross multiply
    13,416x = 20,164 × 20,164
  4. Step 4: Simplify right side
    13,416x = 406,586,896
  5. Step 5: Solve for x
    x = 406,586,896/13,416
  6. Step 6: Final answer
    x = 30,306.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.