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Finding the Third Proportional to 29,347.50 and 57,225

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Solution

The third proportional to 29,347.50 and 57,225 is: 111,583.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,347.50 : 57,225 = 57,225 : x
  2. Step 2: Convert to fraction form
    29,347.50/57,225 = 57,225/x
  3. Step 3: Cross multiply
    29,347.50x = 57,225 × 57,225
  4. Step 4: Simplify right side
    29,347.50x = 3,274,700,625
  5. Step 5: Solve for x
    x = 3,274,700,625/29,347.50
  6. Step 6: Final answer
    x = 111,583.63

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.