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Finding the Third Proportional to 6,057.75 and 12,834.75

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Solution

The third proportional to 6,057.75 and 12,834.75 is: 27,193.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.75 : 12,834.75 = 12,834.75 : x
  2. Step 2: Convert to fraction form
    6,057.75/12,834.75 = 12,834.75/x
  3. Step 3: Cross multiply
    6,057.75x = 12,834.75 × 12,834.75
  4. Step 4: Simplify right side
    6,057.75x = 164,730,807.56
  5. Step 5: Solve for x
    x = 164,730,807.56/6,057.75
  6. Step 6: Final answer
    x = 27,193.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.