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Finding the Third Proportional to 2,382 and 5,274

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Solution

The third proportional to 2,382 and 5,274 is: 11,677.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382 : 5,274 = 5,274 : x
  2. Step 2: Convert to fraction form
    2,382/5,274 = 5,274/x
  3. Step 3: Cross multiply
    2,382x = 5,274 × 5,274
  4. Step 4: Simplify right side
    2,382x = 27,815,076
  5. Step 5: Solve for x
    x = 27,815,076/2,382
  6. Step 6: Final answer
    x = 11,677.19

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.