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Finding the Third Proportional to 29,756 and 46,052

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Solution

The third proportional to 29,756 and 46,052 is: 71,272.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,756 : 46,052 = 46,052 : x
  2. Step 2: Convert to fraction form
    29,756/46,052 = 46,052/x
  3. Step 3: Cross multiply
    29,756x = 46,052 × 46,052
  4. Step 4: Simplify right side
    29,756x = 2,120,786,704
  5. Step 5: Solve for x
    x = 2,120,786,704/29,756
  6. Step 6: Final answer
    x = 71,272.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.