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Finding the Third Proportional to 14,014 and 21,697

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Solution

The third proportional to 14,014 and 21,697 is: 33,592.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,014 : 21,697 = 21,697 : x
  2. Step 2: Convert to fraction form
    14,014/21,697 = 21,697/x
  3. Step 3: Cross multiply
    14,014x = 21,697 × 21,697
  4. Step 4: Simplify right side
    14,014x = 470,759,809
  5. Step 5: Solve for x
    x = 470,759,809/14,014
  6. Step 6: Final answer
    x = 33,592.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.