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Finding the Third Proportional to 29,625 and 65,255

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Solution

The third proportional to 29,625 and 65,255 is: 143,737.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,625 : 65,255 = 65,255 : x
  2. Step 2: Convert to fraction form
    29,625/65,255 = 65,255/x
  3. Step 3: Cross multiply
    29,625x = 65,255 × 65,255
  4. Step 4: Simplify right side
    29,625x = 4,258,215,025
  5. Step 5: Solve for x
    x = 4,258,215,025/29,625
  6. Step 6: Final answer
    x = 143,737.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.