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Finding the Third Proportional to 34,524 and 51,300

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Solution

The third proportional to 34,524 and 51,300 is: 76,227.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,524 : 51,300 = 51,300 : x
  2. Step 2: Convert to fraction form
    34,524/51,300 = 51,300/x
  3. Step 3: Cross multiply
    34,524x = 51,300 × 51,300
  4. Step 4: Simplify right side
    34,524x = 2,631,690,000
  5. Step 5: Solve for x
    x = 2,631,690,000/34,524
  6. Step 6: Final answer
    x = 76,227.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.