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Finding the Third Proportional to 6,059.39 and 12,852.42

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Solution

The third proportional to 6,059.39 and 12,852.42 is: 27,260.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,059.39 : 12,852.42 = 12,852.42 : x
  2. Step 2: Convert to fraction form
    6,059.39/12,852.42 = 12,852.42/x
  3. Step 3: Cross multiply
    6,059.39x = 12,852.42 × 12,852.42
  4. Step 4: Simplify right side
    6,059.39x = 165,184,748.05
  5. Step 5: Solve for x
    x = 165,184,748.05/6,059.39
  6. Step 6: Final answer
    x = 27,260.95

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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.