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Finding the Third Proportional to 29,620 and 60,916

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Solution

The third proportional to 29,620 and 60,916 is: 125,278.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,620 : 60,916 = 60,916 : x
  2. Step 2: Convert to fraction form
    29,620/60,916 = 60,916/x
  3. Step 3: Cross multiply
    29,620x = 60,916 × 60,916
  4. Step 4: Simplify right side
    29,620x = 3,710,759,056
  5. Step 5: Solve for x
    x = 3,710,759,056/29,620
  6. Step 6: Final answer
    x = 125,278.83

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.