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Finding the Third Proportional to 30,682 and 45,591

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Solution

The third proportional to 30,682 and 45,591 is: 67,744.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,682 : 45,591 = 45,591 : x
  2. Step 2: Convert to fraction form
    30,682/45,591 = 45,591/x
  3. Step 3: Cross multiply
    30,682x = 45,591 × 45,591
  4. Step 4: Simplify right side
    30,682x = 2,078,539,281
  5. Step 5: Solve for x
    x = 2,078,539,281/30,682
  6. Step 6: Final answer
    x = 67,744.58

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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.