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Finding the Third Proportional to 14,220 and 30,496

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Solution

The third proportional to 14,220 and 30,496 is: 65,401.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,220 : 30,496 = 30,496 : x
  2. Step 2: Convert to fraction form
    14,220/30,496 = 30,496/x
  3. Step 3: Cross multiply
    14,220x = 30,496 × 30,496
  4. Step 4: Simplify right side
    14,220x = 930,006,016
  5. Step 5: Solve for x
    x = 930,006,016/14,220
  6. Step 6: Final answer
    x = 65,401.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.