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Finding the Third Proportional to 29,756 and 47,842

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Solution

The third proportional to 29,756 and 47,842 is: 76,920.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,756 : 47,842 = 47,842 : x
  2. Step 2: Convert to fraction form
    29,756/47,842 = 47,842/x
  3. Step 3: Cross multiply
    29,756x = 47,842 × 47,842
  4. Step 4: Simplify right side
    29,756x = 2,288,856,964
  5. Step 5: Solve for x
    x = 2,288,856,964/29,756
  6. Step 6: Final answer
    x = 76,920.86

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.