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Finding the Third Proportional to 36,262 and 52,815

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Solution

The third proportional to 36,262 and 52,815 is: 76,924.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,262 : 52,815 = 52,815 : x
  2. Step 2: Convert to fraction form
    36,262/52,815 = 52,815/x
  3. Step 3: Cross multiply
    36,262x = 52,815 × 52,815
  4. Step 4: Simplify right side
    36,262x = 2,789,424,225
  5. Step 5: Solve for x
    x = 2,789,424,225/36,262
  6. Step 6: Final answer
    x = 76,924.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.