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Finding the Third Proportional to 32,706 and 50,634

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Solution

The third proportional to 32,706 and 50,634 is: 78,389.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,706 : 50,634 = 50,634 : x
  2. Step 2: Convert to fraction form
    32,706/50,634 = 50,634/x
  3. Step 3: Cross multiply
    32,706x = 50,634 × 50,634
  4. Step 4: Simplify right side
    32,706x = 2,563,801,956
  5. Step 5: Solve for x
    x = 2,563,801,956/32,706
  6. Step 6: Final answer
    x = 78,389.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.