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Finding the Third Proportional to 12,079 and 14,654

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Solution

The third proportional to 12,079 and 14,654 is: 17,777.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,079 : 14,654 = 14,654 : x
  2. Step 2: Convert to fraction form
    12,079/14,654 = 14,654/x
  3. Step 3: Cross multiply
    12,079x = 14,654 × 14,654
  4. Step 4: Simplify right side
    12,079x = 214,739,716
  5. Step 5: Solve for x
    x = 214,739,716/12,079
  6. Step 6: Final answer
    x = 17,777.94

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.