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Finding the Third Proportional to 41,710 and 61,105

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Solution

The third proportional to 41,710 and 61,105 is: 89,518.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,710 : 61,105 = 61,105 : x
  2. Step 2: Convert to fraction form
    41,710/61,105 = 61,105/x
  3. Step 3: Cross multiply
    41,710x = 61,105 × 61,105
  4. Step 4: Simplify right side
    41,710x = 3,733,821,025
  5. Step 5: Solve for x
    x = 3,733,821,025/41,710
  6. Step 6: Final answer
    x = 89,518.61

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