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Finding the Third Proportional to 7,026 and 14,814

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Solution

The third proportional to 7,026 and 14,814 is: 31,234.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026 : 14,814 = 14,814 : x
  2. Step 2: Convert to fraction form
    7,026/14,814 = 14,814/x
  3. Step 3: Cross multiply
    7,026x = 14,814 × 14,814
  4. Step 4: Simplify right side
    7,026x = 219,454,596
  5. Step 5: Solve for x
    x = 219,454,596/7,026
  6. Step 6: Final answer
    x = 31,234.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.