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Finding the Third Proportional to 38,072 and 56,956

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Solution

The third proportional to 38,072 and 56,956 is: 85,206.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,072 : 56,956 = 56,956 : x
  2. Step 2: Convert to fraction form
    38,072/56,956 = 56,956/x
  3. Step 3: Cross multiply
    38,072x = 56,956 × 56,956
  4. Step 4: Simplify right side
    38,072x = 3,243,985,936
  5. Step 5: Solve for x
    x = 3,243,985,936/38,072
  6. Step 6: Final answer
    x = 85,206.61

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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.