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Finding the Third Proportional to 34,357.50 and 76,096.13

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Solution

The third proportional to 34,357.50 and 76,096.13 is: 168,540.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,357.50 : 76,096.13 = 76,096.13 : x
  2. Step 2: Convert to fraction form
    34,357.50/76,096.13 = 76,096.13/x
  3. Step 3: Cross multiply
    34,357.50x = 76,096.13 × 76,096.13
  4. Step 4: Simplify right side
    34,357.50x = 5,790,620,240.02
  5. Step 5: Solve for x
    x = 5,790,620,240.02/34,357.50
  6. Step 6: Final answer
    x = 168,540.21

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.