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Finding the Third Proportional to 14,216 and 21,270

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Solution

The third proportional to 14,216 and 21,270 is: 31,824.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,216 : 21,270 = 21,270 : x
  2. Step 2: Convert to fraction form
    14,216/21,270 = 21,270/x
  3. Step 3: Cross multiply
    14,216x = 21,270 × 21,270
  4. Step 4: Simplify right side
    14,216x = 452,412,900
  5. Step 5: Solve for x
    x = 452,412,900/14,216
  6. Step 6: Final answer
    x = 31,824.21

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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.