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Finding the Third Proportional to 10,146 and 14,094

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Solution

The third proportional to 10,146 and 14,094 is: 19,578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146 : 14,094 = 14,094 : x
  2. Step 2: Convert to fraction form
    10,146/14,094 = 14,094/x
  3. Step 3: Cross multiply
    10,146x = 14,094 × 14,094
  4. Step 4: Simplify right side
    10,146x = 198,640,836
  5. Step 5: Solve for x
    x = 198,640,836/10,146
  6. Step 6: Final answer
    x = 19,578.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.