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Finding the Third Proportional to 32,646 and 76,329

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Solution

The third proportional to 32,646 and 76,329 is: 178,463.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,646 : 76,329 = 76,329 : x
  2. Step 2: Convert to fraction form
    32,646/76,329 = 76,329/x
  3. Step 3: Cross multiply
    32,646x = 76,329 × 76,329
  4. Step 4: Simplify right side
    32,646x = 5,826,116,241
  5. Step 5: Solve for x
    x = 5,826,116,241/32,646
  6. Step 6: Final answer
    x = 178,463.40

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.