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Finding the Third Proportional to 29,195.50 and 60,467

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Solution

The third proportional to 29,195.50 and 60,467 is: 125,233.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,195.50 : 60,467 = 60,467 : x
  2. Step 2: Convert to fraction form
    29,195.50/60,467 = 60,467/x
  3. Step 3: Cross multiply
    29,195.50x = 60,467 × 60,467
  4. Step 4: Simplify right side
    29,195.50x = 3,656,258,089
  5. Step 5: Solve for x
    x = 3,656,258,089/29,195.50
  6. Step 6: Final answer
    x = 125,233.62

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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.