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Finding the Third Proportional to 14,233 and 21,215

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Solution

The third proportional to 14,233 and 21,215 is: 31,622.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,233 : 21,215 = 21,215 : x
  2. Step 2: Convert to fraction form
    14,233/21,215 = 21,215/x
  3. Step 3: Cross multiply
    14,233x = 21,215 × 21,215
  4. Step 4: Simplify right side
    14,233x = 450,076,225
  5. Step 5: Solve for x
    x = 450,076,225/14,233
  6. Step 6: Final answer
    x = 31,622.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.