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Finding the Third Proportional to 34,182 and 73,473.75

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Solution

The third proportional to 34,182 and 73,473.75 is: 157,930.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,182 : 73,473.75 = 73,473.75 : x
  2. Step 2: Convert to fraction form
    34,182/73,473.75 = 73,473.75/x
  3. Step 3: Cross multiply
    34,182x = 73,473.75 × 73,473.75
  4. Step 4: Simplify right side
    34,182x = 5,398,391,939.06
  5. Step 5: Solve for x
    x = 5,398,391,939.06/34,182
  6. Step 6: Final answer
    x = 157,930.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.