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Finding the Third Proportional to 5,790 and 12,512

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Solution

The third proportional to 5,790 and 12,512 is: 27,038.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790 : 12,512 = 12,512 : x
  2. Step 2: Convert to fraction form
    5,790/12,512 = 12,512/x
  3. Step 3: Cross multiply
    5,790x = 12,512 × 12,512
  4. Step 4: Simplify right side
    5,790x = 156,550,144
  5. Step 5: Solve for x
    x = 156,550,144/5,790
  6. Step 6: Final answer
    x = 27,038.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.