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Finding the Third Proportional to 14,107 and 21,773

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Solution

The third proportional to 14,107 and 21,773 is: 33,604.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107 : 21,773 = 21,773 : x
  2. Step 2: Convert to fraction form
    14,107/21,773 = 21,773/x
  3. Step 3: Cross multiply
    14,107x = 21,773 × 21,773
  4. Step 4: Simplify right side
    14,107x = 474,063,529
  5. Step 5: Solve for x
    x = 474,063,529/14,107
  6. Step 6: Final answer
    x = 33,604.84

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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.