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Finding the Third Proportional to 34,956.50 and 75,745

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Solution

The third proportional to 34,956.50 and 75,745 is: 164,126.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,956.50 : 75,745 = 75,745 : x
  2. Step 2: Convert to fraction form
    34,956.50/75,745 = 75,745/x
  3. Step 3: Cross multiply
    34,956.50x = 75,745 × 75,745
  4. Step 4: Simplify right side
    34,956.50x = 5,737,305,025
  5. Step 5: Solve for x
    x = 5,737,305,025/34,956.50
  6. Step 6: Final answer
    x = 164,126.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.