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Finding the Third Proportional to 10,134 and 14,377

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Solution

The third proportional to 10,134 and 14,377 is: 20,396.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,134 : 14,377 = 14,377 : x
  2. Step 2: Convert to fraction form
    10,134/14,377 = 14,377/x
  3. Step 3: Cross multiply
    10,134x = 14,377 × 14,377
  4. Step 4: Simplify right side
    10,134x = 206,698,129
  5. Step 5: Solve for x
    x = 206,698,129/10,134
  6. Step 6: Final answer
    x = 20,396.50

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.