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Finding the Third Proportional to 2,534 and 3,893

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Solution

The third proportional to 2,534 and 3,893 is: 5,980.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534 : 3,893 = 3,893 : x
  2. Step 2: Convert to fraction form
    2,534/3,893 = 3,893/x
  3. Step 3: Cross multiply
    2,534x = 3,893 × 3,893
  4. Step 4: Simplify right side
    2,534x = 15,155,449
  5. Step 5: Solve for x
    x = 15,155,449/2,534
  6. Step 6: Final answer
    x = 5,980.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.