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Finding the Third Proportional to 35,898 and 73,588

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Solution

The third proportional to 35,898 and 73,588 is: 150,849.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,898 : 73,588 = 73,588 : x
  2. Step 2: Convert to fraction form
    35,898/73,588 = 73,588/x
  3. Step 3: Cross multiply
    35,898x = 73,588 × 73,588
  4. Step 4: Simplify right side
    35,898x = 5,415,193,744
  5. Step 5: Solve for x
    x = 5,415,193,744/35,898
  6. Step 6: Final answer
    x = 150,849.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.