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Finding the Third Proportional to 14,318 and 21,902

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Solution

The third proportional to 14,318 and 21,902 is: 33,503.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,318 : 21,902 = 21,902 : x
  2. Step 2: Convert to fraction form
    14,318/21,902 = 21,902/x
  3. Step 3: Cross multiply
    14,318x = 21,902 × 21,902
  4. Step 4: Simplify right side
    14,318x = 479,697,604
  5. Step 5: Solve for x
    x = 479,697,604/14,318
  6. Step 6: Final answer
    x = 33,503.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.