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Finding the Third Proportional to 36,962 and 55,829

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Solution

The third proportional to 36,962 and 55,829 is: 84,326.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,962 : 55,829 = 55,829 : x
  2. Step 2: Convert to fraction form
    36,962/55,829 = 55,829/x
  3. Step 3: Cross multiply
    36,962x = 55,829 × 55,829
  4. Step 4: Simplify right side
    36,962x = 3,116,877,241
  5. Step 5: Solve for x
    x = 3,116,877,241/36,962
  6. Step 6: Final answer
    x = 84,326.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.