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Finding the Third Proportional to 5,706 and 12,500

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Solution

The third proportional to 5,706 and 12,500 is: 27,383.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706 : 12,500 = 12,500 : x
  2. Step 2: Convert to fraction form
    5,706/12,500 = 12,500/x
  3. Step 3: Cross multiply
    5,706x = 12,500 × 12,500
  4. Step 4: Simplify right side
    5,706x = 156,250,000
  5. Step 5: Solve for x
    x = 156,250,000/5,706
  6. Step 6: Final answer
    x = 27,383.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.