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Finding the Third Proportional to 29,586 and 44,392

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Solution

The third proportional to 29,586 and 44,392 is: 66,607.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,586 : 44,392 = 44,392 : x
  2. Step 2: Convert to fraction form
    29,586/44,392 = 44,392/x
  3. Step 3: Cross multiply
    29,586x = 44,392 × 44,392
  4. Step 4: Simplify right side
    29,586x = 1,970,649,664
  5. Step 5: Solve for x
    x = 1,970,649,664/29,586
  6. Step 6: Final answer
    x = 66,607.51

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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.