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Finding the Third Proportional to 14,144 and 21,712

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Solution

The third proportional to 14,144 and 21,712 is: 33,329.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,144 : 21,712 = 21,712 : x
  2. Step 2: Convert to fraction form
    14,144/21,712 = 21,712/x
  3. Step 3: Cross multiply
    14,144x = 21,712 × 21,712
  4. Step 4: Simplify right side
    14,144x = 471,410,944
  5. Step 5: Solve for x
    x = 471,410,944/14,144
  6. Step 6: Final answer
    x = 33,329.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.