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Finding the Third Proportional to 36,225 and 51,300

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Solution

The third proportional to 36,225 and 51,300 is: 72,648.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,225 : 51,300 = 51,300 : x
  2. Step 2: Convert to fraction form
    36,225/51,300 = 51,300/x
  3. Step 3: Cross multiply
    36,225x = 51,300 × 51,300
  4. Step 4: Simplify right side
    36,225x = 2,631,690,000
  5. Step 5: Solve for x
    x = 2,631,690,000/36,225
  6. Step 6: Final answer
    x = 72,648.45

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.