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Finding the Third Proportional to 29,899 and 46,266

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Solution

The third proportional to 29,899 and 46,266 is: 71,592.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,899 : 46,266 = 46,266 : x
  2. Step 2: Convert to fraction form
    29,899/46,266 = 46,266/x
  3. Step 3: Cross multiply
    29,899x = 46,266 × 46,266
  4. Step 4: Simplify right side
    29,899x = 2,140,542,756
  5. Step 5: Solve for x
    x = 2,140,542,756/29,899
  6. Step 6: Final answer
    x = 71,592.45

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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.