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Finding the Third Proportional to 6,146 and 14,103

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Solution

The third proportional to 6,146 and 14,103 is: 32,361.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146 : 14,103 = 14,103 : x
  2. Step 2: Convert to fraction form
    6,146/14,103 = 14,103/x
  3. Step 3: Cross multiply
    6,146x = 14,103 × 14,103
  4. Step 4: Simplify right side
    6,146x = 198,894,609
  5. Step 5: Solve for x
    x = 198,894,609/6,146
  6. Step 6: Final answer
    x = 32,361.64

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.