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Finding the Third Proportional to 35,963 and 55,837

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Solution

The third proportional to 35,963 and 55,837 is: 86,693.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,963 : 55,837 = 55,837 : x
  2. Step 2: Convert to fraction form
    35,963/55,837 = 55,837/x
  3. Step 3: Cross multiply
    35,963x = 55,837 × 55,837
  4. Step 4: Simplify right side
    35,963x = 3,117,770,569
  5. Step 5: Solve for x
    x = 3,117,770,569/35,963
  6. Step 6: Final answer
    x = 86,693.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.