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Finding the Third Proportional to 32,614 and 43,079

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Solution

The third proportional to 32,614 and 43,079 is: 56,901.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,614 : 43,079 = 43,079 : x
  2. Step 2: Convert to fraction form
    32,614/43,079 = 43,079/x
  3. Step 3: Cross multiply
    32,614x = 43,079 × 43,079
  4. Step 4: Simplify right side
    32,614x = 1,855,800,241
  5. Step 5: Solve for x
    x = 1,855,800,241/32,614
  6. Step 6: Final answer
    x = 56,901.95

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.