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Finding the Third Proportional to 29,204 and 60,482

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Solution

The third proportional to 29,204 and 60,482 is: 125,259.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,204 : 60,482 = 60,482 : x
  2. Step 2: Convert to fraction form
    29,204/60,482 = 60,482/x
  3. Step 3: Cross multiply
    29,204x = 60,482 × 60,482
  4. Step 4: Simplify right side
    29,204x = 3,658,072,324
  5. Step 5: Solve for x
    x = 3,658,072,324/29,204
  6. Step 6: Final answer
    x = 125,259.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.