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Finding the Third Proportional to 37,632 and 56,512

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Solution

The third proportional to 37,632 and 56,512 is: 84,864.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,632 : 56,512 = 56,512 : x
  2. Step 2: Convert to fraction form
    37,632/56,512 = 56,512/x
  3. Step 3: Cross multiply
    37,632x = 56,512 × 56,512
  4. Step 4: Simplify right side
    37,632x = 3,193,606,144
  5. Step 5: Solve for x
    x = 3,193,606,144/37,632
  6. Step 6: Final answer
    x = 84,864.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.