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Finding the Third Proportional to 14,005 and 30,267

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Solution

The third proportional to 14,005 and 30,267 is: 65,411.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,005 : 30,267 = 30,267 : x
  2. Step 2: Convert to fraction form
    14,005/30,267 = 30,267/x
  3. Step 3: Cross multiply
    14,005x = 30,267 × 30,267
  4. Step 4: Simplify right side
    14,005x = 916,091,289
  5. Step 5: Solve for x
    x = 916,091,289/14,005
  6. Step 6: Final answer
    x = 65,411.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.