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Finding the Third Proportional to 34,290 and 51,525

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Solution

The third proportional to 34,290 and 51,525 is: 77,422.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,290 : 51,525 = 51,525 : x
  2. Step 2: Convert to fraction form
    34,290/51,525 = 51,525/x
  3. Step 3: Cross multiply
    34,290x = 51,525 × 51,525
  4. Step 4: Simplify right side
    34,290x = 2,654,825,625
  5. Step 5: Solve for x
    x = 2,654,825,625/34,290
  6. Step 6: Final answer
    x = 77,422.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.