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Finding the Third Proportional to 29,826 and 45,675

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Solution

The third proportional to 29,826 and 45,675 is: 69,945.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,826 : 45,675 = 45,675 : x
  2. Step 2: Convert to fraction form
    29,826/45,675 = 45,675/x
  3. Step 3: Cross multiply
    29,826x = 45,675 × 45,675
  4. Step 4: Simplify right side
    29,826x = 2,086,205,625
  5. Step 5: Solve for x
    x = 2,086,205,625/29,826
  6. Step 6: Final answer
    x = 69,945.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.