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Finding the Third Proportional to 35,082 and 74,544.75

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Solution

The third proportional to 35,082 and 74,544.75 is: 158,398.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,082 : 74,544.75 = 74,544.75 : x
  2. Step 2: Convert to fraction form
    35,082/74,544.75 = 74,544.75/x
  3. Step 3: Cross multiply
    35,082x = 74,544.75 × 74,544.75
  4. Step 4: Simplify right side
    35,082x = 5,556,919,752.56
  5. Step 5: Solve for x
    x = 5,556,919,752.56/35,082
  6. Step 6: Final answer
    x = 158,398.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.