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Finding the Third Proportional to 2,534 and 5,373

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Solution

The third proportional to 2,534 and 5,373 is: 11,392.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534 : 5,373 = 5,373 : x
  2. Step 2: Convert to fraction form
    2,534/5,373 = 5,373/x
  3. Step 3: Cross multiply
    2,534x = 5,373 × 5,373
  4. Step 4: Simplify right side
    2,534x = 28,869,129
  5. Step 5: Solve for x
    x = 28,869,129/2,534
  6. Step 6: Final answer
    x = 11,392.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.