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Finding the Third Proportional to 29,546 and 44,671

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Solution

The third proportional to 29,546 and 44,671 is: 67,538.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,546 : 44,671 = 44,671 : x
  2. Step 2: Convert to fraction form
    29,546/44,671 = 44,671/x
  3. Step 3: Cross multiply
    29,546x = 44,671 × 44,671
  4. Step 4: Simplify right side
    29,546x = 1,995,498,241
  5. Step 5: Solve for x
    x = 1,995,498,241/29,546
  6. Step 6: Final answer
    x = 67,538.69

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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.