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Finding the Third Proportional to 28,520 and 41,916

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Solution

The third proportional to 28,520 and 41,916 is: 61,604.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,520 : 41,916 = 41,916 : x
  2. Step 2: Convert to fraction form
    28,520/41,916 = 41,916/x
  3. Step 3: Cross multiply
    28,520x = 41,916 × 41,916
  4. Step 4: Simplify right side
    28,520x = 1,756,951,056
  5. Step 5: Solve for x
    x = 1,756,951,056/28,520
  6. Step 6: Final answer
    x = 61,604.17

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.