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Finding the Third Proportional to 6,083 and 13,357

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Solution

The third proportional to 6,083 and 13,357 is: 29,329.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,083 : 13,357 = 13,357 : x
  2. Step 2: Convert to fraction form
    6,083/13,357 = 13,357/x
  3. Step 3: Cross multiply
    6,083x = 13,357 × 13,357
  4. Step 4: Simplify right side
    6,083x = 178,409,449
  5. Step 5: Solve for x
    x = 178,409,449/6,083
  6. Step 6: Final answer
    x = 29,329.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.