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Finding the Third Proportional to 14,114 and 21,657

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Solution

The third proportional to 14,114 and 21,657 is: 33,231.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114 : 21,657 = 21,657 : x
  2. Step 2: Convert to fraction form
    14,114/21,657 = 21,657/x
  3. Step 3: Cross multiply
    14,114x = 21,657 × 21,657
  4. Step 4: Simplify right side
    14,114x = 469,025,649
  5. Step 5: Solve for x
    x = 469,025,649/14,114
  6. Step 6: Final answer
    x = 33,231.23

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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.