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Finding the Third Proportional to 29,672 and 44,634

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Solution

The third proportional to 29,672 and 44,634 is: 67,140.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,672 : 44,634 = 44,634 : x
  2. Step 2: Convert to fraction form
    29,672/44,634 = 44,634/x
  3. Step 3: Cross multiply
    29,672x = 44,634 × 44,634
  4. Step 4: Simplify right side
    29,672x = 1,992,193,956
  5. Step 5: Solve for x
    x = 1,992,193,956/29,672
  6. Step 6: Final answer
    x = 67,140.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.