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Finding the Third Proportional to 31,024 and 41,615

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Solution

The third proportional to 31,024 and 41,615 is: 55,821.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,024 : 41,615 = 41,615 : x
  2. Step 2: Convert to fraction form
    31,024/41,615 = 41,615/x
  3. Step 3: Cross multiply
    31,024x = 41,615 × 41,615
  4. Step 4: Simplify right side
    31,024x = 1,731,808,225
  5. Step 5: Solve for x
    x = 1,731,808,225/31,024
  6. Step 6: Final answer
    x = 55,821.56

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.