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Finding the Third Proportional to 34,664 and 75,400

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Solution

The third proportional to 34,664 and 75,400 is: 164,007.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,664 : 75,400 = 75,400 : x
  2. Step 2: Convert to fraction form
    34,664/75,400 = 75,400/x
  3. Step 3: Cross multiply
    34,664x = 75,400 × 75,400
  4. Step 4: Simplify right side
    34,664x = 5,685,160,000
  5. Step 5: Solve for x
    x = 5,685,160,000/34,664
  6. Step 6: Final answer
    x = 164,007.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.