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Finding the Third Proportional to 35,896 and 73,583

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Solution

The third proportional to 35,896 and 73,583 is: 150,837.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,896 : 73,583 = 73,583 : x
  2. Step 2: Convert to fraction form
    35,896/73,583 = 73,583/x
  3. Step 3: Cross multiply
    35,896x = 73,583 × 73,583
  4. Step 4: Simplify right side
    35,896x = 5,414,457,889
  5. Step 5: Solve for x
    x = 5,414,457,889/35,896
  6. Step 6: Final answer
    x = 150,837.36

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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.