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Finding the Third Proportional to 3,840 and 10,376

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Solution

The third proportional to 3,840 and 10,376 is: 28,036.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840 : 10,376 = 10,376 : x
  2. Step 2: Convert to fraction form
    3,840/10,376 = 10,376/x
  3. Step 3: Cross multiply
    3,840x = 10,376 × 10,376
  4. Step 4: Simplify right side
    3,840x = 107,661,376
  5. Step 5: Solve for x
    x = 107,661,376/3,840
  6. Step 6: Final answer
    x = 28,036.82

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.