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Finding the Third Proportional to 29,402 and 44,171

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Solution

The third proportional to 29,402 and 44,171 is: 66,358.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,402 : 44,171 = 44,171 : x
  2. Step 2: Convert to fraction form
    29,402/44,171 = 44,171/x
  3. Step 3: Cross multiply
    29,402x = 44,171 × 44,171
  4. Step 4: Simplify right side
    29,402x = 1,951,077,241
  5. Step 5: Solve for x
    x = 1,951,077,241/29,402
  6. Step 6: Final answer
    x = 66,358.66

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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.