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Finding the Third Proportional to 17,412 and 37,164

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Solution

The third proportional to 17,412 and 37,164 is: 79,322.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,412 : 37,164 = 37,164 : x
  2. Step 2: Convert to fraction form
    17,412/37,164 = 37,164/x
  3. Step 3: Cross multiply
    17,412x = 37,164 × 37,164
  4. Step 4: Simplify right side
    17,412x = 1,381,162,896
  5. Step 5: Solve for x
    x = 1,381,162,896/17,412
  6. Step 6: Final answer
    x = 79,322.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.