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Finding the Third Proportional to 12,406 and 29,261

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Solution

The third proportional to 12,406 and 29,261 is: 69,015.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406 : 29,261 = 29,261 : x
  2. Step 2: Convert to fraction form
    12,406/29,261 = 29,261/x
  3. Step 3: Cross multiply
    12,406x = 29,261 × 29,261
  4. Step 4: Simplify right side
    12,406x = 856,206,121
  5. Step 5: Solve for x
    x = 856,206,121/12,406
  6. Step 6: Final answer
    x = 69,015.49

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.