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Finding the Third Proportional to 6,024 and 12,883

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Solution

The third proportional to 6,024 and 12,883 is: 27,551.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024 : 12,883 = 12,883 : x
  2. Step 2: Convert to fraction form
    6,024/12,883 = 12,883/x
  3. Step 3: Cross multiply
    6,024x = 12,883 × 12,883
  4. Step 4: Simplify right side
    6,024x = 165,971,689
  5. Step 5: Solve for x
    x = 165,971,689/6,024
  6. Step 6: Final answer
    x = 27,551.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.