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Finding the Third Proportional to 29,494 and 44,710

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Solution

The third proportional to 29,494 and 44,710 is: 67,775.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,494 : 44,710 = 44,710 : x
  2. Step 2: Convert to fraction form
    29,494/44,710 = 44,710/x
  3. Step 3: Cross multiply
    29,494x = 44,710 × 44,710
  4. Step 4: Simplify right side
    29,494x = 1,998,984,100
  5. Step 5: Solve for x
    x = 1,998,984,100/29,494
  6. Step 6: Final answer
    x = 67,775.96

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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.