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Finding the Third Proportional to 6,760.34 and 13,366.90

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Solution

The third proportional to 6,760.34 and 13,366.90 is: 26,429.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,760.34 : 13,366.90 = 13,366.90 : x
  2. Step 2: Convert to fraction form
    6,760.34/13,366.90 = 13,366.90/x
  3. Step 3: Cross multiply
    6,760.34x = 13,366.90 × 13,366.90
  4. Step 4: Simplify right side
    6,760.34x = 178,673,973.84
  5. Step 5: Solve for x
    x = 178,673,973.84/6,760.34
  6. Step 6: Final answer
    x = 26,429.75

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.