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Finding the Third Proportional to 1,864 and 4,376

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Solution

The third proportional to 1,864 and 4,376 is: 10,273.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864 : 4,376 = 4,376 : x
  2. Step 2: Convert to fraction form
    1,864/4,376 = 4,376/x
  3. Step 3: Cross multiply
    1,864x = 4,376 × 4,376
  4. Step 4: Simplify right side
    1,864x = 19,149,376
  5. Step 5: Solve for x
    x = 19,149,376/1,864
  6. Step 6: Final answer
    x = 10,273.27

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.