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Finding the Third Proportional to 10,100 and 14,129

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Solution

The third proportional to 10,100 and 14,129 is: 19,765.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100 : 14,129 = 14,129 : x
  2. Step 2: Convert to fraction form
    10,100/14,129 = 14,129/x
  3. Step 3: Cross multiply
    10,100x = 14,129 × 14,129
  4. Step 4: Simplify right side
    10,100x = 199,628,641
  5. Step 5: Solve for x
    x = 199,628,641/10,100
  6. Step 6: Final answer
    x = 19,765.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.