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Finding the Third Proportional to 34,529 and 74,491

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Solution

The third proportional to 34,529 and 74,491 is: 160,702.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,529 : 74,491 = 74,491 : x
  2. Step 2: Convert to fraction form
    34,529/74,491 = 74,491/x
  3. Step 3: Cross multiply
    34,529x = 74,491 × 74,491
  4. Step 4: Simplify right side
    34,529x = 5,548,909,081
  5. Step 5: Solve for x
    x = 5,548,909,081/34,529
  6. Step 6: Final answer
    x = 160,702.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.