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Finding the Third Proportional to 8,026 and 12,007

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Solution

The third proportional to 8,026 and 12,007 is: 17,962.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,026 : 12,007 = 12,007 : x
  2. Step 2: Convert to fraction form
    8,026/12,007 = 12,007/x
  3. Step 3: Cross multiply
    8,026x = 12,007 × 12,007
  4. Step 4: Simplify right side
    8,026x = 144,168,049
  5. Step 5: Solve for x
    x = 144,168,049/8,026
  6. Step 6: Final answer
    x = 17,962.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.