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Finding the Third Proportional to 34,191 and 73,491.75

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Solution

The third proportional to 34,191 and 73,491.75 is: 157,966.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,191 : 73,491.75 = 73,491.75 : x
  2. Step 2: Convert to fraction form
    34,191/73,491.75 = 73,491.75/x
  3. Step 3: Cross multiply
    34,191x = 73,491.75 × 73,491.75
  4. Step 4: Simplify right side
    34,191x = 5,401,037,318.06
  5. Step 5: Solve for x
    x = 5,401,037,318.06/34,191
  6. Step 6: Final answer
    x = 157,966.64

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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.