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Finding the Third Proportional to 14,220 and 30,267

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Solution

The third proportional to 14,220 and 30,267 is: 64,422.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,220 : 30,267 = 30,267 : x
  2. Step 2: Convert to fraction form
    14,220/30,267 = 30,267/x
  3. Step 3: Cross multiply
    14,220x = 30,267 × 30,267
  4. Step 4: Simplify right side
    14,220x = 916,091,289
  5. Step 5: Solve for x
    x = 916,091,289/14,220
  6. Step 6: Final answer
    x = 64,422.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.