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Finding the Third Proportional to 34,614.75 and 75,636.75

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Solution

The third proportional to 34,614.75 and 75,636.75 is: 165,273.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,614.75 : 75,636.75 = 75,636.75 : x
  2. Step 2: Convert to fraction form
    34,614.75/75,636.75 = 75,636.75/x
  3. Step 3: Cross multiply
    34,614.75x = 75,636.75 × 75,636.75
  4. Step 4: Simplify right side
    34,614.75x = 5,720,917,950.56
  5. Step 5: Solve for x
    x = 5,720,917,950.56/34,614.75
  6. Step 6: Final answer
    x = 165,273.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.