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Finding the Third Proportional to 35,935 and 75,589

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Solution

The third proportional to 35,935 and 75,589 is: 159,000.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,935 : 75,589 = 75,589 : x
  2. Step 2: Convert to fraction form
    35,935/75,589 = 75,589/x
  3. Step 3: Cross multiply
    35,935x = 75,589 × 75,589
  4. Step 4: Simplify right side
    35,935x = 5,713,696,921
  5. Step 5: Solve for x
    x = 5,713,696,921/35,935
  6. Step 6: Final answer
    x = 159,000.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.