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Finding the Third Proportional to 34,101.75 and 74,034.75

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Solution

The third proportional to 34,101.75 and 74,034.75 is: 160,729.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,101.75 : 74,034.75 = 74,034.75 : x
  2. Step 2: Convert to fraction form
    34,101.75/74,034.75 = 74,034.75/x
  3. Step 3: Cross multiply
    34,101.75x = 74,034.75 × 74,034.75
  4. Step 4: Simplify right side
    34,101.75x = 5,481,144,207.56
  5. Step 5: Solve for x
    x = 5,481,144,207.56/34,101.75
  6. Step 6: Final answer
    x = 160,729.12

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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.