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Finding the Third Proportional to 32,424 and 50,376

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Solution

The third proportional to 32,424 and 50,376 is: 78,267.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,424 : 50,376 = 50,376 : x
  2. Step 2: Convert to fraction form
    32,424/50,376 = 50,376/x
  3. Step 3: Cross multiply
    32,424x = 50,376 × 50,376
  4. Step 4: Simplify right side
    32,424x = 2,537,741,376
  5. Step 5: Solve for x
    x = 2,537,741,376/32,424
  6. Step 6: Final answer
    x = 78,267.38

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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.