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Finding the Third Proportional to 35,654 and 75,896

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Solution

The third proportional to 35,654 and 75,896 is: 161,558.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,654 : 75,896 = 75,896 : x
  2. Step 2: Convert to fraction form
    35,654/75,896 = 75,896/x
  3. Step 3: Cross multiply
    35,654x = 75,896 × 75,896
  4. Step 4: Simplify right side
    35,654x = 5,760,202,816
  5. Step 5: Solve for x
    x = 5,760,202,816/35,654
  6. Step 6: Final answer
    x = 161,558.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.