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Finding the Third Proportional to 35,808.33 and 75,537.56

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Solution

The third proportional to 35,808.33 and 75,537.56 is: 159,346.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,808.33 : 75,537.56 = 75,537.56 : x
  2. Step 2: Convert to fraction form
    35,808.33/75,537.56 = 75,537.56/x
  3. Step 3: Cross multiply
    35,808.33x = 75,537.56 × 75,537.56
  4. Step 4: Simplify right side
    35,808.33x = 5,705,923,348.44
  5. Step 5: Solve for x
    x = 5,705,923,348.44/35,808.33
  6. Step 6: Final answer
    x = 159,346.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.