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Finding the Third Proportional to 15,682.50 and 34,524

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Solution

The third proportional to 15,682.50 and 34,524 is: 76,002.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,682.50 : 34,524 = 34,524 : x
  2. Step 2: Convert to fraction form
    15,682.50/34,524 = 34,524/x
  3. Step 3: Cross multiply
    15,682.50x = 34,524 × 34,524
  4. Step 4: Simplify right side
    15,682.50x = 1,191,906,576
  5. Step 5: Solve for x
    x = 1,191,906,576/15,682.50
  6. Step 6: Final answer
    x = 76,002.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.