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Finding the Third Proportional to 29,084 and 62,054

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Solution

The third proportional to 29,084 and 62,054 is: 132,399.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,084 : 62,054 = 62,054 : x
  2. Step 2: Convert to fraction form
    29,084/62,054 = 62,054/x
  3. Step 3: Cross multiply
    29,084x = 62,054 × 62,054
  4. Step 4: Simplify right side
    29,084x = 3,850,698,916
  5. Step 5: Solve for x
    x = 3,850,698,916/29,084
  6. Step 6: Final answer
    x = 132,399.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.