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Finding the Third Proportional to 2,281 and 5,383

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Solution

The third proportional to 2,281 and 5,383 is: 12,703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281 : 5,383 = 5,383 : x
  2. Step 2: Convert to fraction form
    2,281/5,383 = 5,383/x
  3. Step 3: Cross multiply
    2,281x = 5,383 × 5,383
  4. Step 4: Simplify right side
    2,281x = 28,976,689
  5. Step 5: Solve for x
    x = 28,976,689/2,281
  6. Step 6: Final answer
    x = 12,703.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.