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Finding the Third Proportional to 10,125 and 20,898

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Solution

The third proportional to 10,125 and 20,898 is: 43,133.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,125 : 20,898 = 20,898 : x
  2. Step 2: Convert to fraction form
    10,125/20,898 = 20,898/x
  3. Step 3: Cross multiply
    10,125x = 20,898 × 20,898
  4. Step 4: Simplify right side
    10,125x = 436,726,404
  5. Step 5: Solve for x
    x = 436,726,404/10,125
  6. Step 6: Final answer
    x = 43,133.47

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.