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Finding the Third Proportional to 35,833 and 77,885

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Solution

The third proportional to 35,833 and 77,885 is: 169,287.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,833 : 77,885 = 77,885 : x
  2. Step 2: Convert to fraction form
    35,833/77,885 = 77,885/x
  3. Step 3: Cross multiply
    35,833x = 77,885 × 77,885
  4. Step 4: Simplify right side
    35,833x = 6,066,073,225
  5. Step 5: Solve for x
    x = 6,066,073,225/35,833
  6. Step 6: Final answer
    x = 169,287.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.