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Finding the Third Proportional to 29,854 and 45,375

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Solution

The third proportional to 29,854 and 45,375 is: 68,965.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,854 : 45,375 = 45,375 : x
  2. Step 2: Convert to fraction form
    29,854/45,375 = 45,375/x
  3. Step 3: Cross multiply
    29,854x = 45,375 × 45,375
  4. Step 4: Simplify right side
    29,854x = 2,058,890,625
  5. Step 5: Solve for x
    x = 2,058,890,625/29,854
  6. Step 6: Final answer
    x = 68,965.32

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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.