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Finding the Third Proportional to 29,462 and 44,621

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Solution

The third proportional to 29,462 and 44,621 is: 67,579.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,462 : 44,621 = 44,621 : x
  2. Step 2: Convert to fraction form
    29,462/44,621 = 44,621/x
  3. Step 3: Cross multiply
    29,462x = 44,621 × 44,621
  4. Step 4: Simplify right side
    29,462x = 1,991,033,641
  5. Step 5: Solve for x
    x = 1,991,033,641/29,462
  6. Step 6: Final answer
    x = 67,579.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.