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Finding the Third Proportional to 29,621 and 44,981

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Solution

The third proportional to 29,621 and 44,981 is: 68,305.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,621 : 44,981 = 44,981 : x
  2. Step 2: Convert to fraction form
    29,621/44,981 = 44,981/x
  3. Step 3: Cross multiply
    29,621x = 44,981 × 44,981
  4. Step 4: Simplify right side
    29,621x = 2,023,290,361
  5. Step 5: Solve for x
    x = 2,023,290,361/29,621
  6. Step 6: Final answer
    x = 68,305.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.