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Finding the Third Proportional to 34,760.50 and 75,895

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Solution

The third proportional to 34,760.50 and 75,895 is: 165,706.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,760.50 : 75,895 = 75,895 : x
  2. Step 2: Convert to fraction form
    34,760.50/75,895 = 75,895/x
  3. Step 3: Cross multiply
    34,760.50x = 75,895 × 75,895
  4. Step 4: Simplify right side
    34,760.50x = 5,760,051,025
  5. Step 5: Solve for x
    x = 5,760,051,025/34,760.50
  6. Step 6: Final answer
    x = 165,706.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.