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Finding the Third Proportional to 29,757.50 and 65,225

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Solution

The third proportional to 29,757.50 and 65,225 is: 142,965.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,757.50 : 65,225 = 65,225 : x
  2. Step 2: Convert to fraction form
    29,757.50/65,225 = 65,225/x
  3. Step 3: Cross multiply
    29,757.50x = 65,225 × 65,225
  4. Step 4: Simplify right side
    29,757.50x = 4,254,300,625
  5. Step 5: Solve for x
    x = 4,254,300,625/29,757.50
  6. Step 6: Final answer
    x = 142,965.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.