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Finding the Third Proportional to 8,450 and 13,026

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Solution

The third proportional to 8,450 and 13,026 is: 20,080.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,450 : 13,026 = 13,026 : x
  2. Step 2: Convert to fraction form
    8,450/13,026 = 13,026/x
  3. Step 3: Cross multiply
    8,450x = 13,026 × 13,026
  4. Step 4: Simplify right side
    8,450x = 169,676,676
  5. Step 5: Solve for x
    x = 169,676,676/8,450
  6. Step 6: Final answer
    x = 20,080.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.