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Finding the Third Proportional to 23,332 and 50,376

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Solution

The third proportional to 23,332 and 50,376 is: 108,766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,332 : 50,376 = 50,376 : x
  2. Step 2: Convert to fraction form
    23,332/50,376 = 50,376/x
  3. Step 3: Cross multiply
    23,332x = 50,376 × 50,376
  4. Step 4: Simplify right side
    23,332x = 2,537,741,376
  5. Step 5: Solve for x
    x = 2,537,741,376/23,332
  6. Step 6: Final answer
    x = 108,766.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.