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Finding the Third Proportional to 29,354 and 44,170

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Solution

The third proportional to 29,354 and 44,170 is: 66,464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,354 : 44,170 = 44,170 : x
  2. Step 2: Convert to fraction form
    29,354/44,170 = 44,170/x
  3. Step 3: Cross multiply
    29,354x = 44,170 × 44,170
  4. Step 4: Simplify right side
    29,354x = 1,950,988,900
  5. Step 5: Solve for x
    x = 1,950,988,900/29,354
  6. Step 6: Final answer
    x = 66,464.16

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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.