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Finding the Third Proportional to 41,508.38 and 58,245

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Solution

The third proportional to 41,508.38 and 58,245 is: 81,730.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,508.38 : 58,245 = 58,245 : x
  2. Step 2: Convert to fraction form
    41,508.38/58,245 = 58,245/x
  3. Step 3: Cross multiply
    41,508.38x = 58,245 × 58,245
  4. Step 4: Simplify right side
    41,508.38x = 3,392,480,025
  5. Step 5: Solve for x
    x = 3,392,480,025/41,508.38
  6. Step 6: Final answer
    x = 81,730.01

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.