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Finding the Third Proportional to 5,829.14 and 12,489.38

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Solution

The third proportional to 5,829.14 and 12,489.38 is: 26,759.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.14 : 12,489.38 = 12,489.38 : x
  2. Step 2: Convert to fraction form
    5,829.14/12,489.38 = 12,489.38/x
  3. Step 3: Cross multiply
    5,829.14x = 12,489.38 × 12,489.38
  4. Step 4: Simplify right side
    5,829.14x = 155,984,487.89
  5. Step 5: Solve for x
    x = 155,984,487.89/5,829.14
  6. Step 6: Final answer
    x = 26,759.43

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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.