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Finding the Third Proportional to 2,534 and 5,873

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Solution

The third proportional to 2,534 and 5,873 is: 13,611.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534 : 5,873 = 5,873 : x
  2. Step 2: Convert to fraction form
    2,534/5,873 = 5,873/x
  3. Step 3: Cross multiply
    2,534x = 5,873 × 5,873
  4. Step 4: Simplify right side
    2,534x = 34,492,129
  5. Step 5: Solve for x
    x = 34,492,129/2,534
  6. Step 6: Final answer
    x = 13,611.73

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.